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Finding the Fourth Proportional to 546.40, 753.06 and 380.08

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Solution

The fourth proportional to 546.40, 753.06 and 380.08 is: 523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 753.06 = 380.08 : x
  2. Step 2: Convert to fraction form
    546.40/753.06 = 380.08/x
  3. Step 3: Cross multiply
    546.40x = 753.06 × 380.08
  4. Step 4: Simplify right side
    546.40x = 286,223.04
  5. Step 5: Solve for x
    x = 286,223.04/546.40
  6. Step 6: Final answer
    x = 523.83

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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.