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Finding the Fourth Proportional to 631.51, 871.61 and 366.00

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Solution

The fourth proportional to 631.51, 871.61 and 366.00 is: 505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.51 : 871.61 = 366.00 : x
  2. Step 2: Convert to fraction form
    631.51/871.61 = 366.00/x
  3. Step 3: Cross multiply
    631.51x = 871.61 × 366.00
  4. Step 4: Simplify right side
    631.51x = 319,004.90
  5. Step 5: Solve for x
    x = 319,004.90/631.51
  6. Step 6: Final answer
    x = 505.15

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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.