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Finding the Fourth Proportional to 546.30, 753.93 and 380.52

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Solution

The fourth proportional to 546.30, 753.93 and 380.52 is: 525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 753.93 = 380.52 : x
  2. Step 2: Convert to fraction form
    546.30/753.93 = 380.52/x
  3. Step 3: Cross multiply
    546.30x = 753.93 × 380.52
  4. Step 4: Simplify right side
    546.30x = 286,885.44
  5. Step 5: Solve for x
    x = 286,885.44/546.30
  6. Step 6: Final answer
    x = 525.14

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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.