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Finding the Fourth Proportional to 590.38, 813.60 and 424.30

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Solution

The fourth proportional to 590.38, 813.60 and 424.30 is: 584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.38 : 813.60 = 424.30 : x
  2. Step 2: Convert to fraction form
    590.38/813.60 = 424.30/x
  3. Step 3: Cross multiply
    590.38x = 813.60 × 424.30
  4. Step 4: Simplify right side
    590.38x = 345,210.48
  5. Step 5: Solve for x
    x = 345,210.48/590.38
  6. Step 6: Final answer
    x = 584.73

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1.5x scale

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.