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Finding the Fourth Proportional to 624.80, 862.17 and 345.02

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Solution

The fourth proportional to 624.80, 862.17 and 345.02 is: 476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 862.17 = 345.02 : x
  2. Step 2: Convert to fraction form
    624.80/862.17 = 345.02/x
  3. Step 3: Cross multiply
    624.80x = 862.17 × 345.02
  4. Step 4: Simplify right side
    624.80x = 297,465.89
  5. Step 5: Solve for x
    x = 297,465.89/624.80
  6. Step 6: Final answer
    x = 476.10

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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.