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Finding the Fourth Proportional to 563.23, 775.27 and 493.12

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Solution

The fourth proportional to 563.23, 775.27 and 493.12 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.23 : 775.27 = 493.12 : x
  2. Step 2: Convert to fraction form
    563.23/775.27 = 493.12/x
  3. Step 3: Cross multiply
    563.23x = 775.27 × 493.12
  4. Step 4: Simplify right side
    563.23x = 382,301.14
  5. Step 5: Solve for x
    x = 382,301.14/563.23
  6. Step 6: Final answer
    x = 678.77

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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.