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Finding the Fourth Proportional to 485.55, 724.40 and 462.36

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Solution

The fourth proportional to 485.55, 724.40 and 462.36 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.55 : 724.40 = 462.36 : x
  2. Step 2: Convert to fraction form
    485.55/724.40 = 462.36/x
  3. Step 3: Cross multiply
    485.55x = 724.40 × 462.36
  4. Step 4: Simplify right side
    485.55x = 334,934.74
  5. Step 5: Solve for x
    x = 334,934.74/485.55
  6. Step 6: Final answer
    x = 689.80

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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.