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Finding the Fourth Proportional to 877.66, 1,316.46 and 228.43

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Solution

The fourth proportional to 877.66, 1,316.46 and 228.43 is: 342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.66 : 1,316.46 = 228.43 : x
  2. Step 2: Convert to fraction form
    877.66/1,316.46 = 228.43/x
  3. Step 3: Cross multiply
    877.66x = 1,316.46 × 228.43
  4. Step 4: Simplify right side
    877.66x = 300,718.96
  5. Step 5: Solve for x
    x = 300,718.96/877.66
  6. Step 6: Final answer
    x = 342.64

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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.