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Finding the Fourth Proportional to 463.87, 695.53 and 203.86

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Solution

The fourth proportional to 463.87, 695.53 and 203.86 is: 305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 695.53 = 203.86 : x
  2. Step 2: Convert to fraction form
    463.87/695.53 = 203.86/x
  3. Step 3: Cross multiply
    463.87x = 695.53 × 203.86
  4. Step 4: Simplify right side
    463.87x = 141,790.75
  5. Step 5: Solve for x
    x = 141,790.75/463.87
  6. Step 6: Final answer
    x = 305.67

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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.