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Finding the Fourth Proportional to 563.90, 778.10 and 367.67

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Solution

The fourth proportional to 563.90, 778.10 and 367.67 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 778.10 = 367.67 : x
  2. Step 2: Convert to fraction form
    563.90/778.10 = 367.67/x
  3. Step 3: Cross multiply
    563.90x = 778.10 × 367.67
  4. Step 4: Simplify right side
    563.90x = 286,084.03
  5. Step 5: Solve for x
    x = 286,084.03/563.90
  6. Step 6: Final answer
    x = 507.34

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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.