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Finding the Fourth Proportional to 589.68, 885.13 and 316.31

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Solution

The fourth proportional to 589.68, 885.13 and 316.31 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 885.13 = 316.31 : x
  2. Step 2: Convert to fraction form
    589.68/885.13 = 316.31/x
  3. Step 3: Cross multiply
    589.68x = 885.13 × 316.31
  4. Step 4: Simplify right side
    589.68x = 279,970.25
  5. Step 5: Solve for x
    x = 279,970.25/589.68
  6. Step 6: Final answer
    x = 474.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.