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Finding the Fourth Proportional to 354.40, 530.85 and 232.30

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Solution

The fourth proportional to 354.40, 530.85 and 232.30 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 530.85 = 232.30 : x
  2. Step 2: Convert to fraction form
    354.40/530.85 = 232.30/x
  3. Step 3: Cross multiply
    354.40x = 530.85 × 232.30
  4. Step 4: Simplify right side
    354.40x = 123,316.46
  5. Step 5: Solve for x
    x = 123,316.46/354.40
  6. Step 6: Final answer
    x = 347.96

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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.