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Finding the Fourth Proportional to 590.41, 814.35 and 422.20

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Solution

The fourth proportional to 590.41, 814.35 and 422.20 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.41 : 814.35 = 422.20 : x
  2. Step 2: Convert to fraction form
    590.41/814.35 = 422.20/x
  3. Step 3: Cross multiply
    590.41x = 814.35 × 422.20
  4. Step 4: Simplify right side
    590.41x = 343,818.57
  5. Step 5: Solve for x
    x = 343,818.57/590.41
  6. Step 6: Final answer
    x = 582.34

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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.