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Finding the Fourth Proportional to 709.31, 977.99 and 460.53

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Solution

The fourth proportional to 709.31, 977.99 and 460.53 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 977.99 = 460.53 : x
  2. Step 2: Convert to fraction form
    709.31/977.99 = 460.53/x
  3. Step 3: Cross multiply
    709.31x = 977.99 × 460.53
  4. Step 4: Simplify right side
    709.31x = 450,391.43
  5. Step 5: Solve for x
    x = 450,391.43/709.31
  6. Step 6: Final answer
    x = 634.97

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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.