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Finding the Fourth Proportional to 555.90, 766.32 and 424.68

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Solution

The fourth proportional to 555.90, 766.32 and 424.68 is: 585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.90 : 766.32 = 424.68 : x
  2. Step 2: Convert to fraction form
    555.90/766.32 = 424.68/x
  3. Step 3: Cross multiply
    555.90x = 766.32 × 424.68
  4. Step 4: Simplify right side
    555.90x = 325,440.78
  5. Step 5: Solve for x
    x = 325,440.78/555.90
  6. Step 6: Final answer
    x = 585.43

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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.