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Finding the Fourth Proportional to 631.64, 871.66 and 366.08

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Solution

The fourth proportional to 631.64, 871.66 and 366.08 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 871.66 = 366.08 : x
  2. Step 2: Convert to fraction form
    631.64/871.66 = 366.08/x
  3. Step 3: Cross multiply
    631.64x = 871.66 × 366.08
  4. Step 4: Simplify right side
    631.64x = 319,097.29
  5. Step 5: Solve for x
    x = 319,097.29/631.64
  6. Step 6: Final answer
    x = 505.19

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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.