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Finding the Fourth Proportional to 546.09, 753.35 and 380.58

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Solution

The fourth proportional to 546.09, 753.35 and 380.58 is: 525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.09 : 753.35 = 380.58 : x
  2. Step 2: Convert to fraction form
    546.09/753.35 = 380.58/x
  3. Step 3: Cross multiply
    546.09x = 753.35 × 380.58
  4. Step 4: Simplify right side
    546.09x = 286,708.04
  5. Step 5: Solve for x
    x = 286,708.04/546.09
  6. Step 6: Final answer
    x = 525.02

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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.