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Finding the Fourth Proportional to 476.57, 656.34 and 442.55

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Solution

The fourth proportional to 476.57, 656.34 and 442.55 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.57 : 656.34 = 442.55 : x
  2. Step 2: Convert to fraction form
    476.57/656.34 = 442.55/x
  3. Step 3: Cross multiply
    476.57x = 656.34 × 442.55
  4. Step 4: Simplify right side
    476.57x = 290,463.27
  5. Step 5: Solve for x
    x = 290,463.27/476.57
  6. Step 6: Final answer
    x = 609.49

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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.