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Finding the Fourth Proportional to 631.10, 871.02 and 369.14

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Solution

The fourth proportional to 631.10, 871.02 and 369.14 is: 509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.10 : 871.02 = 369.14 : x
  2. Step 2: Convert to fraction form
    631.10/871.02 = 369.14/x
  3. Step 3: Cross multiply
    631.10x = 871.02 × 369.14
  4. Step 4: Simplify right side
    631.10x = 321,528.32
  5. Step 5: Solve for x
    x = 321,528.32/631.10
  6. Step 6: Final answer
    x = 509.47

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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.