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Finding the Fourth Proportional to 590.59, 814.65 and 466.03

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Solution

The fourth proportional to 590.59, 814.65 and 466.03 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.59 : 814.65 = 466.03 : x
  2. Step 2: Convert to fraction form
    590.59/814.65 = 466.03/x
  3. Step 3: Cross multiply
    590.59x = 814.65 × 466.03
  4. Step 4: Simplify right side
    590.59x = 379,651.34
  5. Step 5: Solve for x
    x = 379,651.34/590.59
  6. Step 6: Final answer
    x = 642.83

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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.