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Finding the Fourth Proportional to 600.81, 901.25 and 456.45

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Solution

The fourth proportional to 600.81, 901.25 and 456.45 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.81 : 901.25 = 456.45 : x
  2. Step 2: Convert to fraction form
    600.81/901.25 = 456.45/x
  3. Step 3: Cross multiply
    600.81x = 901.25 × 456.45
  4. Step 4: Simplify right side
    600.81x = 411,371.61
  5. Step 5: Solve for x
    x = 411,371.61/600.81
  6. Step 6: Final answer
    x = 684.70

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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.