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Finding the Fourth Proportional to 485.71, 724.80 and 433.79

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Solution

The fourth proportional to 485.71, 724.80 and 433.79 is: 647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.71 : 724.80 = 433.79 : x
  2. Step 2: Convert to fraction form
    485.71/724.80 = 433.79/x
  3. Step 3: Cross multiply
    485.71x = 724.80 × 433.79
  4. Step 4: Simplify right side
    485.71x = 314,410.99
  5. Step 5: Solve for x
    x = 314,410.99/485.71
  6. Step 6: Final answer
    x = 647.32

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Why These Related Problems?

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