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Finding the Fourth Proportional to 631.23, 870.96 and 407.22

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Solution

The fourth proportional to 631.23, 870.96 and 407.22 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 870.96 = 407.22 : x
  2. Step 2: Convert to fraction form
    631.23/870.96 = 407.22/x
  3. Step 3: Cross multiply
    631.23x = 870.96 × 407.22
  4. Step 4: Simplify right side
    631.23x = 354,672.33
  5. Step 5: Solve for x
    x = 354,672.33/631.23
  6. Step 6: Final answer
    x = 561.87

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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.