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Finding the Fourth Proportional to 564.77, 847.29 and 180.02

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Solution

The fourth proportional to 564.77, 847.29 and 180.02 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 847.29 = 180.02 : x
  2. Step 2: Convert to fraction form
    564.77/847.29 = 180.02/x
  3. Step 3: Cross multiply
    564.77x = 847.29 × 180.02
  4. Step 4: Simplify right side
    564.77x = 152,524.91
  5. Step 5: Solve for x
    x = 152,524.91/564.77
  6. Step 6: Final answer
    x = 270.07

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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.