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Finding the Fourth Proportional to 588.22, 811.32 and 430.90

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Solution

The fourth proportional to 588.22, 811.32 and 430.90 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.22 : 811.32 = 430.90 : x
  2. Step 2: Convert to fraction form
    588.22/811.32 = 430.90/x
  3. Step 3: Cross multiply
    588.22x = 811.32 × 430.90
  4. Step 4: Simplify right side
    588.22x = 349,597.79
  5. Step 5: Solve for x
    x = 349,597.79/588.22
  6. Step 6: Final answer
    x = 594.33

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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.