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Finding the Fourth Proportional to 698.74, 964.22 and 462.40

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Solution

The fourth proportional to 698.74, 964.22 and 462.40 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.74 : 964.22 = 462.40 : x
  2. Step 2: Convert to fraction form
    698.74/964.22 = 462.40/x
  3. Step 3: Cross multiply
    698.74x = 964.22 × 462.40
  4. Step 4: Simplify right side
    698.74x = 445,855.33
  5. Step 5: Solve for x
    x = 445,855.33/698.74
  6. Step 6: Final answer
    x = 638.08

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Double scale
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1.5x scale

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.