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Finding the Fourth Proportional to 458.70, 686.70 and 410.10

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Solution

The fourth proportional to 458.70, 686.70 and 410.10 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 686.70 = 410.10 : x
  2. Step 2: Convert to fraction form
    458.70/686.70 = 410.10/x
  3. Step 3: Cross multiply
    458.70x = 686.70 × 410.10
  4. Step 4: Simplify right side
    458.70x = 281,615.67
  5. Step 5: Solve for x
    x = 281,615.67/458.70
  6. Step 6: Final answer
    x = 613.94

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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.