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Finding the Fourth Proportional to 532.67, 735.06 and 311.75

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Solution

The fourth proportional to 532.67, 735.06 and 311.75 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.67 : 735.06 = 311.75 : x
  2. Step 2: Convert to fraction form
    532.67/735.06 = 311.75/x
  3. Step 3: Cross multiply
    532.67x = 735.06 × 311.75
  4. Step 4: Simplify right side
    532.67x = 229,151.28
  5. Step 5: Solve for x
    x = 229,151.28/532.67
  6. Step 6: Final answer
    x = 430.20

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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.