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Finding the Fourth Proportional to 415, 572.74 and 259.72

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Solution

The fourth proportional to 415, 572.74 and 259.72 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 572.74 = 259.72 : x
  2. Step 2: Convert to fraction form
    415/572.74 = 259.72/x
  3. Step 3: Cross multiply
    415x = 572.74 × 259.72
  4. Step 4: Simplify right side
    415x = 148,752.03
  5. Step 5: Solve for x
    x = 148,752.03/415
  6. Step 6: Final answer
    x = 358.44

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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.