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Finding the Fourth Proportional to 631.68, 871.52 and 369.64

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Solution

The fourth proportional to 631.68, 871.52 and 369.64 is: 509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 871.52 = 369.64 : x
  2. Step 2: Convert to fraction form
    631.68/871.52 = 369.64/x
  3. Step 3: Cross multiply
    631.68x = 871.52 × 369.64
  4. Step 4: Simplify right side
    631.68x = 322,148.65
  5. Step 5: Solve for x
    x = 322,148.65/631.68
  6. Step 6: Final answer
    x = 509.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.