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Finding the Fourth Proportional to 564.59, 846.90 and 179.84

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Solution

The fourth proportional to 564.59, 846.90 and 179.84 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.59 : 846.90 = 179.84 : x
  2. Step 2: Convert to fraction form
    564.59/846.90 = 179.84/x
  3. Step 3: Cross multiply
    564.59x = 846.90 × 179.84
  4. Step 4: Simplify right side
    564.59x = 152,302.26
  5. Step 5: Solve for x
    x = 152,302.26/564.59
  6. Step 6: Final answer
    x = 269.76

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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.