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Finding the Fourth Proportional to 648.29, 970.61 and 493.58

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Solution

The fourth proportional to 648.29, 970.61 and 493.58 is: 738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 970.61 = 493.58 : x
  2. Step 2: Convert to fraction form
    648.29/970.61 = 493.58/x
  3. Step 3: Cross multiply
    648.29x = 970.61 × 493.58
  4. Step 4: Simplify right side
    648.29x = 479,066.36
  5. Step 5: Solve for x
    x = 479,066.36/648.29
  6. Step 6: Final answer
    x = 738.97

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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.