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Finding the Fourth Proportional to 708.76, 978.24 and 447.04

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Solution

The fourth proportional to 708.76, 978.24 and 447.04 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 978.24 = 447.04 : x
  2. Step 2: Convert to fraction form
    708.76/978.24 = 447.04/x
  3. Step 3: Cross multiply
    708.76x = 978.24 × 447.04
  4. Step 4: Simplify right side
    708.76x = 437,312.41
  5. Step 5: Solve for x
    x = 437,312.41/708.76
  6. Step 6: Final answer
    x = 617.01

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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.