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Finding the Fourth Proportional to 555.60, 766.14 and 415.50

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Solution

The fourth proportional to 555.60, 766.14 and 415.50 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.60 : 766.14 = 415.50 : x
  2. Step 2: Convert to fraction form
    555.60/766.14 = 415.50/x
  3. Step 3: Cross multiply
    555.60x = 766.14 × 415.50
  4. Step 4: Simplify right side
    555.60x = 318,331.17
  5. Step 5: Solve for x
    x = 318,331.17/555.60
  6. Step 6: Final answer
    x = 572.95

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