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Finding the Fourth Proportional to 555.15, 766.18 and 415.02

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Solution

The fourth proportional to 555.15, 766.18 and 415.02 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.15 : 766.18 = 415.02 : x
  2. Step 2: Convert to fraction form
    555.15/766.18 = 415.02/x
  3. Step 3: Cross multiply
    555.15x = 766.18 × 415.02
  4. Step 4: Simplify right side
    555.15x = 317,981.08
  5. Step 5: Solve for x
    x = 317,981.08/555.15
  6. Step 6: Final answer
    x = 572.78

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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.