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Finding the Fourth Proportional to 580.01, 800.81 and 422.93

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Solution

The fourth proportional to 580.01, 800.81 and 422.93 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.01 : 800.81 = 422.93 : x
  2. Step 2: Convert to fraction form
    580.01/800.81 = 422.93/x
  3. Step 3: Cross multiply
    580.01x = 800.81 × 422.93
  4. Step 4: Simplify right side
    580.01x = 338,686.57
  5. Step 5: Solve for x
    x = 338,686.57/580.01
  6. Step 6: Final answer
    x = 583.93

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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.