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Finding the Fourth Proportional to 532.84, 735.24 and 311.74

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Solution

The fourth proportional to 532.84, 735.24 and 311.74 is: 430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 735.24 = 311.74 : x
  2. Step 2: Convert to fraction form
    532.84/735.24 = 311.74/x
  3. Step 3: Cross multiply
    532.84x = 735.24 × 311.74
  4. Step 4: Simplify right side
    532.84x = 229,203.72
  5. Step 5: Solve for x
    x = 229,203.72/532.84
  6. Step 6: Final answer
    x = 430.15

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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.