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Finding the Fourth Proportional to 564.19, 844.95 and 341.92

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Solution

The fourth proportional to 564.19, 844.95 and 341.92 is: 512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 844.95 = 341.92 : x
  2. Step 2: Convert to fraction form
    564.19/844.95 = 341.92/x
  3. Step 3: Cross multiply
    564.19x = 844.95 × 341.92
  4. Step 4: Simplify right side
    564.19x = 288,905.30
  5. Step 5: Solve for x
    x = 288,905.30/564.19
  6. Step 6: Final answer
    x = 512.07

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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.