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Finding the Fourth Proportional to 415.34, 572.34 and 348.84

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Solution

The fourth proportional to 415.34, 572.34 and 348.84 is: 480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 572.34 = 348.84 : x
  2. Step 2: Convert to fraction form
    415.34/572.34 = 348.84/x
  3. Step 3: Cross multiply
    415.34x = 572.34 × 348.84
  4. Step 4: Simplify right side
    415.34x = 199,655.41
  5. Step 5: Solve for x
    x = 199,655.41/415.34
  6. Step 6: Final answer
    x = 480.70

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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.