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Finding the Fourth Proportional to 559.59, 772.95 and 430.20

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Solution

The fourth proportional to 559.59, 772.95 and 430.20 is: 594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.59 : 772.95 = 430.20 : x
  2. Step 2: Convert to fraction form
    559.59/772.95 = 430.20/x
  3. Step 3: Cross multiply
    559.59x = 772.95 × 430.20
  4. Step 4: Simplify right side
    559.59x = 332,523.09
  5. Step 5: Solve for x
    x = 332,523.09/559.59
  6. Step 6: Final answer
    x = 594.23

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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.