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Finding the Fourth Proportional to 563.40, 844.92 and 348.30

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Solution

The fourth proportional to 563.40, 844.92 and 348.30 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 844.92 = 348.30 : x
  2. Step 2: Convert to fraction form
    563.40/844.92 = 348.30/x
  3. Step 3: Cross multiply
    563.40x = 844.92 × 348.30
  4. Step 4: Simplify right side
    563.40x = 294,285.64
  5. Step 5: Solve for x
    x = 294,285.64/563.40
  6. Step 6: Final answer
    x = 522.34

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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.