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Finding the Fourth Proportional to 478.13, 719.24 and 416.61

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Solution

The fourth proportional to 478.13, 719.24 and 416.61 is: 626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 719.24 = 416.61 : x
  2. Step 2: Convert to fraction form
    478.13/719.24 = 416.61/x
  3. Step 3: Cross multiply
    478.13x = 719.24 × 416.61
  4. Step 4: Simplify right side
    478.13x = 299,640.49
  5. Step 5: Solve for x
    x = 299,640.49/478.13
  6. Step 6: Final answer
    x = 626.70

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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.