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Finding the Fourth Proportional to 564.54, 847.42 and 474.24

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Solution

The fourth proportional to 564.54, 847.42 and 474.24 is: 711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 847.42 = 474.24 : x
  2. Step 2: Convert to fraction form
    564.54/847.42 = 474.24/x
  3. Step 3: Cross multiply
    564.54x = 847.42 × 474.24
  4. Step 4: Simplify right side
    564.54x = 401,880.46
  5. Step 5: Solve for x
    x = 401,880.46/564.54
  6. Step 6: Final answer
    x = 711.87

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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.