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Finding the Fourth Proportional to 708.48, 977.47 and 460.13

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Solution

The fourth proportional to 708.48, 977.47 and 460.13 is: 634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.48 : 977.47 = 460.13 : x
  2. Step 2: Convert to fraction form
    708.48/977.47 = 460.13/x
  3. Step 3: Cross multiply
    708.48x = 977.47 × 460.13
  4. Step 4: Simplify right side
    708.48x = 449,757.23
  5. Step 5: Solve for x
    x = 449,757.23/708.48
  6. Step 6: Final answer
    x = 634.82

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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.