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Finding the Fourth Proportional to 631.12, 870.78 and 410.08

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Solution

The fourth proportional to 631.12, 870.78 and 410.08 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.12 : 870.78 = 410.08 : x
  2. Step 2: Convert to fraction form
    631.12/870.78 = 410.08/x
  3. Step 3: Cross multiply
    631.12x = 870.78 × 410.08
  4. Step 4: Simplify right side
    631.12x = 357,089.46
  5. Step 5: Solve for x
    x = 357,089.46/631.12
  6. Step 6: Final answer
    x = 565.80

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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.