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Finding the Fourth Proportional to 546.16, 752.68 and 388.80

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Solution

The fourth proportional to 546.16, 752.68 and 388.80 is: 535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 752.68 = 388.80 : x
  2. Step 2: Convert to fraction form
    546.16/752.68 = 388.80/x
  3. Step 3: Cross multiply
    546.16x = 752.68 × 388.80
  4. Step 4: Simplify right side
    546.16x = 292,641.98
  5. Step 5: Solve for x
    x = 292,641.98/546.16
  6. Step 6: Final answer
    x = 535.82

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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.