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Finding the Fourth Proportional to 877.53, 1,316.31 and 228.33

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Solution

The fourth proportional to 877.53, 1,316.31 and 228.33 is: 342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.53 : 1,316.31 = 228.33 : x
  2. Step 2: Convert to fraction form
    877.53/1,316.31 = 228.33/x
  3. Step 3: Cross multiply
    877.53x = 1,316.31 × 228.33
  4. Step 4: Simplify right side
    877.53x = 300,553.06
  5. Step 5: Solve for x
    x = 300,553.06/877.53
  6. Step 6: Final answer
    x = 342.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.