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Finding the Fourth Proportional to 507.87, 760.49 and 430.67

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Solution

The fourth proportional to 507.87, 760.49 and 430.67 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 760.49 = 430.67 : x
  2. Step 2: Convert to fraction form
    507.87/760.49 = 430.67/x
  3. Step 3: Cross multiply
    507.87x = 760.49 × 430.67
  4. Step 4: Simplify right side
    507.87x = 327,517.31
  5. Step 5: Solve for x
    x = 327,517.31/507.87
  6. Step 6: Final answer
    x = 644.88

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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.