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Finding the Fourth Proportional to 630.26, 870.43 and 421.31

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Solution

The fourth proportional to 630.26, 870.43 and 421.31 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.26 : 870.43 = 421.31 : x
  2. Step 2: Convert to fraction form
    630.26/870.43 = 421.31/x
  3. Step 3: Cross multiply
    630.26x = 870.43 × 421.31
  4. Step 4: Simplify right side
    630.26x = 366,725.78
  5. Step 5: Solve for x
    x = 366,725.78/630.26
  6. Step 6: Final answer
    x = 581.87

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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.