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Finding the Fourth Proportional to 590.03, 813.89 and 424.47

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Solution

The fourth proportional to 590.03, 813.89 and 424.47 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.03 : 813.89 = 424.47 : x
  2. Step 2: Convert to fraction form
    590.03/813.89 = 424.47/x
  3. Step 3: Cross multiply
    590.03x = 813.89 × 424.47
  4. Step 4: Simplify right side
    590.03x = 345,471.89
  5. Step 5: Solve for x
    x = 345,471.89/590.03
  6. Step 6: Final answer
    x = 585.52

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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.