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Finding the Fourth Proportional to 595.28, 892.88 and 210.48

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Solution

The fourth proportional to 595.28, 892.88 and 210.48 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 892.88 = 210.48 : x
  2. Step 2: Convert to fraction form
    595.28/892.88 = 210.48/x
  3. Step 3: Cross multiply
    595.28x = 892.88 × 210.48
  4. Step 4: Simplify right side
    595.28x = 187,933.38
  5. Step 5: Solve for x
    x = 187,933.38/595.28
  6. Step 6: Final answer
    x = 315.71

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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.