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Finding the Fourth Proportional to 705.98, 974.02 and 457.62

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Solution

The fourth proportional to 705.98, 974.02 and 457.62 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 974.02 = 457.62 : x
  2. Step 2: Convert to fraction form
    705.98/974.02 = 457.62/x
  3. Step 3: Cross multiply
    705.98x = 974.02 × 457.62
  4. Step 4: Simplify right side
    705.98x = 445,731.03
  5. Step 5: Solve for x
    x = 445,731.03/705.98
  6. Step 6: Final answer
    x = 631.36

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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.