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Finding the Fourth Proportional to 542.04, 746.28 and 473.04

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Solution

The fourth proportional to 542.04, 746.28 and 473.04 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 746.28 = 473.04 : x
  2. Step 2: Convert to fraction form
    542.04/746.28 = 473.04/x
  3. Step 3: Cross multiply
    542.04x = 746.28 × 473.04
  4. Step 4: Simplify right side
    542.04x = 353,020.29
  5. Step 5: Solve for x
    x = 353,020.29/542.04
  6. Step 6: Final answer
    x = 651.28

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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.