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Finding the Fourth Proportional to 590.27, 814.45 and 354.16

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Solution

The fourth proportional to 590.27, 814.45 and 354.16 is: 488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.27 : 814.45 = 354.16 : x
  2. Step 2: Convert to fraction form
    590.27/814.45 = 354.16/x
  3. Step 3: Cross multiply
    590.27x = 814.45 × 354.16
  4. Step 4: Simplify right side
    590.27x = 288,442.69
  5. Step 5: Solve for x
    x = 288,442.69/590.27
  6. Step 6: Final answer
    x = 488.66

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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.