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Finding the Fourth Proportional to 415.88, 624.24 and 253.88

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Solution

The fourth proportional to 415.88, 624.24 and 253.88 is: 381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 624.24 = 253.88 : x
  2. Step 2: Convert to fraction form
    415.88/624.24 = 253.88/x
  3. Step 3: Cross multiply
    415.88x = 624.24 × 253.88
  4. Step 4: Simplify right side
    415.88x = 158,482.05
  5. Step 5: Solve for x
    x = 158,482.05/415.88
  6. Step 6: Final answer
    x = 381.08

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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.