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Finding the Fourth Proportional to 564.16, 846.24 and 506.56

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Solution

The fourth proportional to 564.16, 846.24 and 506.56 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 846.24 = 506.56 : x
  2. Step 2: Convert to fraction form
    564.16/846.24 = 506.56/x
  3. Step 3: Cross multiply
    564.16x = 846.24 × 506.56
  4. Step 4: Simplify right side
    564.16x = 428,671.33
  5. Step 5: Solve for x
    x = 428,671.33/564.16
  6. Step 6: Final answer
    x = 759.84

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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.