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Finding the Fourth Proportional to 595.45, 827.23 and 590.11

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Solution

The fourth proportional to 595.45, 827.23 and 590.11 is: 819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.45 : 827.23 = 590.11 : x
  2. Step 2: Convert to fraction form
    595.45/827.23 = 590.11/x
  3. Step 3: Cross multiply
    595.45x = 827.23 × 590.11
  4. Step 4: Simplify right side
    595.45x = 488,156.70
  5. Step 5: Solve for x
    x = 488,156.70/595.45
  6. Step 6: Final answer
    x = 819.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.