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Finding the Fourth Proportional to 590.15, 813.73 and 423.83

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Solution

The fourth proportional to 590.15, 813.73 and 423.83 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.15 : 813.73 = 423.83 : x
  2. Step 2: Convert to fraction form
    590.15/813.73 = 423.83/x
  3. Step 3: Cross multiply
    590.15x = 813.73 × 423.83
  4. Step 4: Simplify right side
    590.15x = 344,883.19
  5. Step 5: Solve for x
    x = 344,883.19/590.15
  6. Step 6: Final answer
    x = 584.40

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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.