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Finding the Fourth Proportional to 484.77, 724.21 and 310.04

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Solution

The fourth proportional to 484.77, 724.21 and 310.04 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.77 : 724.21 = 310.04 : x
  2. Step 2: Convert to fraction form
    484.77/724.21 = 310.04/x
  3. Step 3: Cross multiply
    484.77x = 724.21 × 310.04
  4. Step 4: Simplify right side
    484.77x = 224,532.52
  5. Step 5: Solve for x
    x = 224,532.52/484.77
  6. Step 6: Final answer
    x = 463.17

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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.