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Finding the Fourth Proportional to 546.16, 752.52 and 371.20

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Solution

The fourth proportional to 546.16, 752.52 and 371.20 is: 511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 752.52 = 371.20 : x
  2. Step 2: Convert to fraction form
    546.16/752.52 = 371.20/x
  3. Step 3: Cross multiply
    546.16x = 752.52 × 371.20
  4. Step 4: Simplify right side
    546.16x = 279,334.93
  5. Step 5: Solve for x
    x = 279,334.93/546.16
  6. Step 6: Final answer
    x = 511.45

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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.