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Finding the Fourth Proportional to 564.32, 844.83 and 347.24

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Solution

The fourth proportional to 564.32, 844.83 and 347.24 is: 519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 844.83 = 347.24 : x
  2. Step 2: Convert to fraction form
    564.32/844.83 = 347.24/x
  3. Step 3: Cross multiply
    564.32x = 844.83 × 347.24
  4. Step 4: Simplify right side
    564.32x = 293,358.77
  5. Step 5: Solve for x
    x = 293,358.77/564.32
  6. Step 6: Final answer
    x = 519.84

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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.