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Finding the Fourth Proportional to 705.93, 974.40 and 457.25

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Solution

The fourth proportional to 705.93, 974.40 and 457.25 is: 631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 974.40 = 457.25 : x
  2. Step 2: Convert to fraction form
    705.93/974.40 = 457.25/x
  3. Step 3: Cross multiply
    705.93x = 974.40 × 457.25
  4. Step 4: Simplify right side
    705.93x = 445,544.40
  5. Step 5: Solve for x
    x = 445,544.40/705.93
  6. Step 6: Final answer
    x = 631.15

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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.