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Finding the Fourth Proportional to 463.72, 695.76 and 309.70

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Solution

The fourth proportional to 463.72, 695.76 and 309.70 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 695.76 = 309.70 : x
  2. Step 2: Convert to fraction form
    463.72/695.76 = 309.70/x
  3. Step 3: Cross multiply
    463.72x = 695.76 × 309.70
  4. Step 4: Simplify right side
    463.72x = 215,476.87
  5. Step 5: Solve for x
    x = 215,476.87/463.72
  6. Step 6: Final answer
    x = 464.67

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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.