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Finding the Fourth Proportional to 631.66, 871.77 and 369.76

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Solution

The fourth proportional to 631.66, 871.77 and 369.76 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.66 : 871.77 = 369.76 : x
  2. Step 2: Convert to fraction form
    631.66/871.77 = 369.76/x
  3. Step 3: Cross multiply
    631.66x = 871.77 × 369.76
  4. Step 4: Simplify right side
    631.66x = 322,345.68
  5. Step 5: Solve for x
    x = 322,345.68/631.66
  6. Step 6: Final answer
    x = 510.32

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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.