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Finding the Fourth Proportional to 590.61, 814.11 and 466.08

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Solution

The fourth proportional to 590.61, 814.11 and 466.08 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.61 : 814.11 = 466.08 : x
  2. Step 2: Convert to fraction form
    590.61/814.11 = 466.08/x
  3. Step 3: Cross multiply
    590.61x = 814.11 × 466.08
  4. Step 4: Simplify right side
    590.61x = 379,440.39
  5. Step 5: Solve for x
    x = 379,440.39/590.61
  6. Step 6: Final answer
    x = 642.46

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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.