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Finding the Fourth Proportional to 417.12, 624.31 and 307.38

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Solution

The fourth proportional to 417.12, 624.31 and 307.38 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 624.31 = 307.38 : x
  2. Step 2: Convert to fraction form
    417.12/624.31 = 307.38/x
  3. Step 3: Cross multiply
    417.12x = 624.31 × 307.38
  4. Step 4: Simplify right side
    417.12x = 191,900.41
  5. Step 5: Solve for x
    x = 191,900.41/417.12
  6. Step 6: Final answer
    x = 460.07

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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.