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Finding the Fourth Proportional to 485.45, 724.52 and 465.40

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Solution

The fourth proportional to 485.45, 724.52 and 465.40 is: 694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.45 : 724.52 = 465.40 : x
  2. Step 2: Convert to fraction form
    485.45/724.52 = 465.40/x
  3. Step 3: Cross multiply
    485.45x = 724.52 × 465.40
  4. Step 4: Simplify right side
    485.45x = 337,191.61
  5. Step 5: Solve for x
    x = 337,191.61/485.45
  6. Step 6: Final answer
    x = 694.60

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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.