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Finding the Fourth Proportional to 590.12, 814.50 and 382.76

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Solution

The fourth proportional to 590.12, 814.50 and 382.76 is: 528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.12 : 814.50 = 382.76 : x
  2. Step 2: Convert to fraction form
    590.12/814.50 = 382.76/x
  3. Step 3: Cross multiply
    590.12x = 814.50 × 382.76
  4. Step 4: Simplify right side
    590.12x = 311,758.02
  5. Step 5: Solve for x
    x = 311,758.02/590.12
  6. Step 6: Final answer
    x = 528.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.