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Finding the Fourth Proportional to 595.13, 892.70 and 210.38

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Solution

The fourth proportional to 595.13, 892.70 and 210.38 is: 315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.13 : 892.70 = 210.38 : x
  2. Step 2: Convert to fraction form
    595.13/892.70 = 210.38/x
  3. Step 3: Cross multiply
    595.13x = 892.70 × 210.38
  4. Step 4: Simplify right side
    595.13x = 187,800.71
  5. Step 5: Solve for x
    x = 187,800.71/595.13
  6. Step 6: Final answer
    x = 315.57

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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.