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Finding the Fourth Proportional to 354.60, 530.86 and 238.76

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Solution

The fourth proportional to 354.60, 530.86 and 238.76 is: 357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 530.86 = 238.76 : x
  2. Step 2: Convert to fraction form
    354.60/530.86 = 238.76/x
  3. Step 3: Cross multiply
    354.60x = 530.86 × 238.76
  4. Step 4: Simplify right side
    354.60x = 126,748.13
  5. Step 5: Solve for x
    x = 126,748.13/354.60
  6. Step 6: Final answer
    x = 357.44

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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.