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Finding the Fourth Proportional to 559.95, 772.12 and 350.04

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Solution

The fourth proportional to 559.95, 772.12 and 350.04 is: 482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.95 : 772.12 = 350.04 : x
  2. Step 2: Convert to fraction form
    559.95/772.12 = 350.04/x
  3. Step 3: Cross multiply
    559.95x = 772.12 × 350.04
  4. Step 4: Simplify right side
    559.95x = 270,276.22
  5. Step 5: Solve for x
    x = 270,276.22/559.95
  6. Step 6: Final answer
    x = 482.68

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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.