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Finding the Fourth Proportional to 415.16, 572.88 and 238.11

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Solution

The fourth proportional to 415.16, 572.88 and 238.11 is: 328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 572.88 = 238.11 : x
  2. Step 2: Convert to fraction form
    415.16/572.88 = 238.11/x
  3. Step 3: Cross multiply
    415.16x = 572.88 × 238.11
  4. Step 4: Simplify right side
    415.16x = 136,408.46
  5. Step 5: Solve for x
    x = 136,408.46/415.16
  6. Step 6: Final answer
    x = 328.57

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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.