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Finding the Fourth Proportional to 624.87, 862.30 and 345.13

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Solution

The fourth proportional to 624.87, 862.30 and 345.13 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.87 : 862.30 = 345.13 : x
  2. Step 2: Convert to fraction form
    624.87/862.30 = 345.13/x
  3. Step 3: Cross multiply
    624.87x = 862.30 × 345.13
  4. Step 4: Simplify right side
    624.87x = 297,602.58
  5. Step 5: Solve for x
    x = 297,602.58/624.87
  6. Step 6: Final answer
    x = 476.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.