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Finding the Fourth Proportional to 590.35, 813.34 and 465.97

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Solution

The fourth proportional to 590.35, 813.34 and 465.97 is: 641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.35 : 813.34 = 465.97 : x
  2. Step 2: Convert to fraction form
    590.35/813.34 = 465.97/x
  3. Step 3: Cross multiply
    590.35x = 813.34 × 465.97
  4. Step 4: Simplify right side
    590.35x = 378,992.04
  5. Step 5: Solve for x
    x = 378,992.04/590.35
  6. Step 6: Final answer
    x = 641.98

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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.