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Finding the Fourth Proportional to 697.74, 1,046.34 and 332.70

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Solution

The fourth proportional to 697.74, 1,046.34 and 332.70 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.74 : 1,046.34 = 332.70 : x
  2. Step 2: Convert to fraction form
    697.74/1,046.34 = 332.70/x
  3. Step 3: Cross multiply
    697.74x = 1,046.34 × 332.70
  4. Step 4: Simplify right side
    697.74x = 348,117.32
  5. Step 5: Solve for x
    x = 348,117.32/697.74
  6. Step 6: Final answer
    x = 498.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.