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Finding the Fourth Proportional to 588.52, 812.40 and 422.80

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Solution

The fourth proportional to 588.52, 812.40 and 422.80 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.40 = 422.80 : x
  2. Step 2: Convert to fraction form
    588.52/812.40 = 422.80/x
  3. Step 3: Cross multiply
    588.52x = 812.40 × 422.80
  4. Step 4: Simplify right side
    588.52x = 343,482.72
  5. Step 5: Solve for x
    x = 343,482.72/588.52
  6. Step 6: Final answer
    x = 583.64

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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.