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Finding the Fourth Proportional to 532.32, 735.78 and 385.98

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Solution

The fourth proportional to 532.32, 735.78 and 385.98 is: 533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 735.78 = 385.98 : x
  2. Step 2: Convert to fraction form
    532.32/735.78 = 385.98/x
  3. Step 3: Cross multiply
    532.32x = 735.78 × 385.98
  4. Step 4: Simplify right side
    532.32x = 283,996.36
  5. Step 5: Solve for x
    x = 283,996.36/532.32
  6. Step 6: Final answer
    x = 533.51

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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.