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Finding the Fourth Proportional to 589.85, 882.95 and 315.26

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Solution

The fourth proportional to 589.85, 882.95 and 315.26 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.85 : 882.95 = 315.26 : x
  2. Step 2: Convert to fraction form
    589.85/882.95 = 315.26/x
  3. Step 3: Cross multiply
    589.85x = 882.95 × 315.26
  4. Step 4: Simplify right side
    589.85x = 278,352.83
  5. Step 5: Solve for x
    x = 278,352.83/589.85
  6. Step 6: Final answer
    x = 471.91

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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.