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Finding the Fourth Proportional to 564.64, 846.97 and 153.78

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Solution

The fourth proportional to 564.64, 846.97 and 153.78 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 846.97 = 153.78 : x
  2. Step 2: Convert to fraction form
    564.64/846.97 = 153.78/x
  3. Step 3: Cross multiply
    564.64x = 846.97 × 153.78
  4. Step 4: Simplify right side
    564.64x = 130,242.04
  5. Step 5: Solve for x
    x = 130,242.04/564.64
  6. Step 6: Final answer
    x = 230.66

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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.