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Finding the Fourth Proportional to 631.19, 870.75 and 410.06

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Solution

The fourth proportional to 631.19, 870.75 and 410.06 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.19 : 870.75 = 410.06 : x
  2. Step 2: Convert to fraction form
    631.19/870.75 = 410.06/x
  3. Step 3: Cross multiply
    631.19x = 870.75 × 410.06
  4. Step 4: Simplify right side
    631.19x = 357,059.75
  5. Step 5: Solve for x
    x = 357,059.75/631.19
  6. Step 6: Final answer
    x = 565.69

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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.