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Finding the Fourth Proportional to 590.24, 814.32 and 354.20

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Solution

The fourth proportional to 590.24, 814.32 and 354.20 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 814.32 = 354.20 : x
  2. Step 2: Convert to fraction form
    590.24/814.32 = 354.20/x
  3. Step 3: Cross multiply
    590.24x = 814.32 × 354.20
  4. Step 4: Simplify right side
    590.24x = 288,432.14
  5. Step 5: Solve for x
    x = 288,432.14/590.24
  6. Step 6: Final answer
    x = 488.67

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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.