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Finding the Fourth Proportional to 476.54, 711.63 and 411.69

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Solution

The fourth proportional to 476.54, 711.63 and 411.69 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 711.63 = 411.69 : x
  2. Step 2: Convert to fraction form
    476.54/711.63 = 411.69/x
  3. Step 3: Cross multiply
    476.54x = 711.63 × 411.69
  4. Step 4: Simplify right side
    476.54x = 292,970.95
  5. Step 5: Solve for x
    x = 292,970.95/476.54
  6. Step 6: Final answer
    x = 614.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.