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Finding the Fourth Proportional to 589.11, 885.78 and 315.72

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Solution

The fourth proportional to 589.11, 885.78 and 315.72 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.11 : 885.78 = 315.72 : x
  2. Step 2: Convert to fraction form
    589.11/885.78 = 315.72/x
  3. Step 3: Cross multiply
    589.11x = 885.78 × 315.72
  4. Step 4: Simplify right side
    589.11x = 279,658.46
  5. Step 5: Solve for x
    x = 279,658.46/589.11
  6. Step 6: Final answer
    x = 474.71

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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.