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Finding the Fourth Proportional to 566.10, 849.15 and 473.76

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Solution

The fourth proportional to 566.10, 849.15 and 473.76 is: 710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 849.15 = 473.76 : x
  2. Step 2: Convert to fraction form
    566.10/849.15 = 473.76/x
  3. Step 3: Cross multiply
    566.10x = 849.15 × 473.76
  4. Step 4: Simplify right side
    566.10x = 402,293.30
  5. Step 5: Solve for x
    x = 402,293.30/566.10
  6. Step 6: Final answer
    x = 710.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.