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Finding the Fourth Proportional to 648.32, 970.52 and 483.35

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Solution

The fourth proportional to 648.32, 970.52 and 483.35 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 970.52 = 483.35 : x
  2. Step 2: Convert to fraction form
    648.32/970.52 = 483.35/x
  3. Step 3: Cross multiply
    648.32x = 970.52 × 483.35
  4. Step 4: Simplify right side
    648.32x = 469,093.57
  5. Step 5: Solve for x
    x = 469,093.57/648.32
  6. Step 6: Final answer
    x = 723.56

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