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Finding the Fourth Proportional to 547.36, 750.56 and 532.96

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Solution

The fourth proportional to 547.36, 750.56 and 532.96 is: 730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 750.56 = 532.96 : x
  2. Step 2: Convert to fraction form
    547.36/750.56 = 532.96/x
  3. Step 3: Cross multiply
    547.36x = 750.56 × 532.96
  4. Step 4: Simplify right side
    547.36x = 400,018.46
  5. Step 5: Solve for x
    x = 400,018.46/547.36
  6. Step 6: Final answer
    x = 730.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.