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Finding the Fourth Proportional to 621.10, 930.30 and 458.29

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Solution

The fourth proportional to 621.10, 930.30 and 458.29 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.10 : 930.30 = 458.29 : x
  2. Step 2: Convert to fraction form
    621.10/930.30 = 458.29/x
  3. Step 3: Cross multiply
    621.10x = 930.30 × 458.29
  4. Step 4: Simplify right side
    621.10x = 426,347.19
  5. Step 5: Solve for x
    x = 426,347.19/621.10
  6. Step 6: Final answer
    x = 686.44

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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.