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Finding the Fourth Proportional to 631.52, 947.65 and 323.65

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Solution

The fourth proportional to 631.52, 947.65 and 323.65 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.52 : 947.65 = 323.65 : x
  2. Step 2: Convert to fraction form
    631.52/947.65 = 323.65/x
  3. Step 3: Cross multiply
    631.52x = 947.65 × 323.65
  4. Step 4: Simplify right side
    631.52x = 306,706.92
  5. Step 5: Solve for x
    x = 306,706.92/631.52
  6. Step 6: Final answer
    x = 485.66

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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.