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Finding the Fourth Proportional to 573.72, 856.92 and 542.16

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Solution

The fourth proportional to 573.72, 856.92 and 542.16 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.72 : 856.92 = 542.16 : x
  2. Step 2: Convert to fraction form
    573.72/856.92 = 542.16/x
  3. Step 3: Cross multiply
    573.72x = 856.92 × 542.16
  4. Step 4: Simplify right side
    573.72x = 464,587.75
  5. Step 5: Solve for x
    x = 464,587.75/573.72
  6. Step 6: Final answer
    x = 809.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.