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Finding the Fourth Proportional to 631.99, 871.50 and 410.95

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Solution

The fourth proportional to 631.99, 871.50 and 410.95 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.99 : 871.50 = 410.95 : x
  2. Step 2: Convert to fraction form
    631.99/871.50 = 410.95/x
  3. Step 3: Cross multiply
    631.99x = 871.50 × 410.95
  4. Step 4: Simplify right side
    631.99x = 358,142.93
  5. Step 5: Solve for x
    x = 358,142.93/631.99
  6. Step 6: Final answer
    x = 566.69

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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.