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Finding the Fourth Proportional to 589.68, 883.87 and 315.09

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Solution

The fourth proportional to 589.68, 883.87 and 315.09 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 883.87 = 315.09 : x
  2. Step 2: Convert to fraction form
    589.68/883.87 = 315.09/x
  3. Step 3: Cross multiply
    589.68x = 883.87 × 315.09
  4. Step 4: Simplify right side
    589.68x = 278,492.60
  5. Step 5: Solve for x
    x = 278,492.60/589.68
  6. Step 6: Final answer
    x = 472.28

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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.