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Finding the Fourth Proportional to 590.13, 813.45 and 465.24

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Solution

The fourth proportional to 590.13, 813.45 and 465.24 is: 641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 813.45 = 465.24 : x
  2. Step 2: Convert to fraction form
    590.13/813.45 = 465.24/x
  3. Step 3: Cross multiply
    590.13x = 813.45 × 465.24
  4. Step 4: Simplify right side
    590.13x = 378,449.48
  5. Step 5: Solve for x
    x = 378,449.48/590.13
  6. Step 6: Final answer
    x = 641.30

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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.