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Finding the Fourth Proportional to 569.17, 853.69 and 179.16

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Solution

The fourth proportional to 569.17, 853.69 and 179.16 is: 268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.17 : 853.69 = 179.16 : x
  2. Step 2: Convert to fraction form
    569.17/853.69 = 179.16/x
  3. Step 3: Cross multiply
    569.17x = 853.69 × 179.16
  4. Step 4: Simplify right side
    569.17x = 152,947.10
  5. Step 5: Solve for x
    x = 152,947.10/569.17
  6. Step 6: Final answer
    x = 268.72

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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.