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Finding the Fourth Proportional to 714, 984.48 and 465.36

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Solution

The fourth proportional to 714, 984.48 and 465.36 is: 641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 984.48 = 465.36 : x
  2. Step 2: Convert to fraction form
    714/984.48 = 465.36/x
  3. Step 3: Cross multiply
    714x = 984.48 × 465.36
  4. Step 4: Simplify right side
    714x = 458,137.61
  5. Step 5: Solve for x
    x = 458,137.61/714
  6. Step 6: Final answer
    x = 641.65

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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.