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Finding the Fourth Proportional to 648.65, 972.36 and 323.71

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Solution

The fourth proportional to 648.65, 972.36 and 323.71 is: 485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 972.36 = 323.71 : x
  2. Step 2: Convert to fraction form
    648.65/972.36 = 323.71/x
  3. Step 3: Cross multiply
    648.65x = 972.36 × 323.71
  4. Step 4: Simplify right side
    648.65x = 314,762.66
  5. Step 5: Solve for x
    x = 314,762.66/648.65
  6. Step 6: Final answer
    x = 485.26

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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.