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Finding the Fourth Proportional to 532.69, 735.14 and 311.74

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Solution

The fourth proportional to 532.69, 735.14 and 311.74 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.69 : 735.14 = 311.74 : x
  2. Step 2: Convert to fraction form
    532.69/735.14 = 311.74/x
  3. Step 3: Cross multiply
    532.69x = 735.14 × 311.74
  4. Step 4: Simplify right side
    532.69x = 229,172.54
  5. Step 5: Solve for x
    x = 229,172.54/532.69
  6. Step 6: Final answer
    x = 430.22

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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.