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Finding the Fourth Proportional to 631.31, 870.35 and 421.49

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Solution

The fourth proportional to 631.31, 870.35 and 421.49 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 870.35 = 421.49 : x
  2. Step 2: Convert to fraction form
    631.31/870.35 = 421.49/x
  3. Step 3: Cross multiply
    631.31x = 870.35 × 421.49
  4. Step 4: Simplify right side
    631.31x = 366,843.89
  5. Step 5: Solve for x
    x = 366,843.89/631.31
  6. Step 6: Final answer
    x = 581.09

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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.