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Finding the Fourth Proportional to 631.14, 870.39 and 410.01

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Solution

The fourth proportional to 631.14, 870.39 and 410.01 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 870.39 = 410.01 : x
  2. Step 2: Convert to fraction form
    631.14/870.39 = 410.01/x
  3. Step 3: Cross multiply
    631.14x = 870.39 × 410.01
  4. Step 4: Simplify right side
    631.14x = 356,868.60
  5. Step 5: Solve for x
    x = 356,868.60/631.14
  6. Step 6: Final answer
    x = 565.43

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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.