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Finding the Fourth Proportional to 569.98, 854.69 and 296.00

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Solution

The fourth proportional to 569.98, 854.69 and 296.00 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.98 : 854.69 = 296.00 : x
  2. Step 2: Convert to fraction form
    569.98/854.69 = 296.00/x
  3. Step 3: Cross multiply
    569.98x = 854.69 × 296.00
  4. Step 4: Simplify right side
    569.98x = 252,982.49
  5. Step 5: Solve for x
    x = 252,982.49/569.98
  6. Step 6: Final answer
    x = 443.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.