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Finding the Fourth Proportional to 415.12, 572.94 and 259.78

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Solution

The fourth proportional to 415.12, 572.94 and 259.78 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.12 : 572.94 = 259.78 : x
  2. Step 2: Convert to fraction form
    415.12/572.94 = 259.78/x
  3. Step 3: Cross multiply
    415.12x = 572.94 × 259.78
  4. Step 4: Simplify right side
    415.12x = 148,838.35
  5. Step 5: Solve for x
    x = 148,838.35/415.12
  6. Step 6: Final answer
    x = 358.54

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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.