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Finding the Fourth Proportional to 694.24, 956.72 and 497.40

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Solution

The fourth proportional to 694.24, 956.72 and 497.40 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.24 : 956.72 = 497.40 : x
  2. Step 2: Convert to fraction form
    694.24/956.72 = 497.40/x
  3. Step 3: Cross multiply
    694.24x = 956.72 × 497.40
  4. Step 4: Simplify right side
    694.24x = 475,872.53
  5. Step 5: Solve for x
    x = 475,872.53/694.24
  6. Step 6: Final answer
    x = 685.46

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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.