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Finding the Fourth Proportional to 563.87, 778.23 and 430.88

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Solution

The fourth proportional to 563.87, 778.23 and 430.88 is: 594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 778.23 = 430.88 : x
  2. Step 2: Convert to fraction form
    563.87/778.23 = 430.88/x
  3. Step 3: Cross multiply
    563.87x = 778.23 × 430.88
  4. Step 4: Simplify right side
    563.87x = 335,319.85
  5. Step 5: Solve for x
    x = 335,319.85/563.87
  6. Step 6: Final answer
    x = 594.67

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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.