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Finding the Fourth Proportional to 496.18, 740.70 and 460.13

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Solution

The fourth proportional to 496.18, 740.70 and 460.13 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.18 : 740.70 = 460.13 : x
  2. Step 2: Convert to fraction form
    496.18/740.70 = 460.13/x
  3. Step 3: Cross multiply
    496.18x = 740.70 × 460.13
  4. Step 4: Simplify right side
    496.18x = 340,812.29
  5. Step 5: Solve for x
    x = 340,812.29/496.18
  6. Step 6: Final answer
    x = 686.87

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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.