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Finding the Fourth Proportional to 697.92, 960.48 and 542.40

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Solution

The fourth proportional to 697.92, 960.48 and 542.40 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 960.48 = 542.40 : x
  2. Step 2: Convert to fraction form
    697.92/960.48 = 542.40/x
  3. Step 3: Cross multiply
    697.92x = 960.48 × 542.40
  4. Step 4: Simplify right side
    697.92x = 520,964.35
  5. Step 5: Solve for x
    x = 520,964.35/697.92
  6. Step 6: Final answer
    x = 746.45

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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.