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Finding the Fourth Proportional to 498.39, 746.51 and 460.13

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Solution

The fourth proportional to 498.39, 746.51 and 460.13 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 746.51 = 460.13 : x
  2. Step 2: Convert to fraction form
    498.39/746.51 = 460.13/x
  3. Step 3: Cross multiply
    498.39x = 746.51 × 460.13
  4. Step 4: Simplify right side
    498.39x = 343,485.61
  5. Step 5: Solve for x
    x = 343,485.61/498.39
  6. Step 6: Final answer
    x = 689.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.