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Finding the Fourth Proportional to 546.04, 752.46 and 359.32

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Solution

The fourth proportional to 546.04, 752.46 and 359.32 is: 495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.04 : 752.46 = 359.32 : x
  2. Step 2: Convert to fraction form
    546.04/752.46 = 359.32/x
  3. Step 3: Cross multiply
    546.04x = 752.46 × 359.32
  4. Step 4: Simplify right side
    546.04x = 270,373.93
  5. Step 5: Solve for x
    x = 270,373.93/546.04
  6. Step 6: Final answer
    x = 495.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.