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Finding the Fourth Proportional to 648.41, 970.48 and 624.32

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Solution

The fourth proportional to 648.41, 970.48 and 624.32 is: 934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 970.48 = 624.32 : x
  2. Step 2: Convert to fraction form
    648.41/970.48 = 624.32/x
  3. Step 3: Cross multiply
    648.41x = 970.48 × 624.32
  4. Step 4: Simplify right side
    648.41x = 605,891.01
  5. Step 5: Solve for x
    x = 605,891.01/648.41
  6. Step 6: Final answer
    x = 934.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.