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Finding the Fourth Proportional to 877.54, 1,316.46 and 329.80

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Solution

The fourth proportional to 877.54, 1,316.46 and 329.80 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.54 : 1,316.46 = 329.80 : x
  2. Step 2: Convert to fraction form
    877.54/1,316.46 = 329.80/x
  3. Step 3: Cross multiply
    877.54x = 1,316.46 × 329.80
  4. Step 4: Simplify right side
    877.54x = 434,168.51
  5. Step 5: Solve for x
    x = 434,168.51/877.54
  6. Step 6: Final answer
    x = 494.76

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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.