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Finding the Fourth Proportional to 631.57, 871.58 and 369.74

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Solution

The fourth proportional to 631.57, 871.58 and 369.74 is: 510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.57 : 871.58 = 369.74 : x
  2. Step 2: Convert to fraction form
    631.57/871.58 = 369.74/x
  3. Step 3: Cross multiply
    631.57x = 871.58 × 369.74
  4. Step 4: Simplify right side
    631.57x = 322,257.99
  5. Step 5: Solve for x
    x = 322,257.99/631.57
  6. Step 6: Final answer
    x = 510.25

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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.