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Finding the Fourth Proportional to 555.96, 767.32 and 414.60

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Solution

The fourth proportional to 555.96, 767.32 and 414.60 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 767.32 = 414.60 : x
  2. Step 2: Convert to fraction form
    555.96/767.32 = 414.60/x
  3. Step 3: Cross multiply
    555.96x = 767.32 × 414.60
  4. Step 4: Simplify right side
    555.96x = 318,130.87
  5. Step 5: Solve for x
    x = 318,130.87/555.96
  6. Step 6: Final answer
    x = 572.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.