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Finding the Fourth Proportional to 631.13, 870.39 and 410.00

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Solution

The fourth proportional to 631.13, 870.39 and 410.00 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 870.39 = 410.00 : x
  2. Step 2: Convert to fraction form
    631.13/870.39 = 410.00/x
  3. Step 3: Cross multiply
    631.13x = 870.39 × 410.00
  4. Step 4: Simplify right side
    631.13x = 356,855.55
  5. Step 5: Solve for x
    x = 356,855.55/631.13
  6. Step 6: Final answer
    x = 565.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.