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Finding the Fourth Proportional to 563.90, 778.36 and 343.01

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Solution

The fourth proportional to 563.90, 778.36 and 343.01 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 778.36 = 343.01 : x
  2. Step 2: Convert to fraction form
    563.90/778.36 = 343.01/x
  3. Step 3: Cross multiply
    563.90x = 778.36 × 343.01
  4. Step 4: Simplify right side
    563.90x = 266,985.26
  5. Step 5: Solve for x
    x = 266,985.26/563.90
  6. Step 6: Final answer
    x = 473.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.