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Finding the Fourth Proportional to 465.24, 693.30 and 449.76

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Solution

The fourth proportional to 465.24, 693.30 and 449.76 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 693.30 = 449.76 : x
  2. Step 2: Convert to fraction form
    465.24/693.30 = 449.76/x
  3. Step 3: Cross multiply
    465.24x = 693.30 × 449.76
  4. Step 4: Simplify right side
    465.24x = 311,818.61
  5. Step 5: Solve for x
    x = 311,818.61/465.24
  6. Step 6: Final answer
    x = 670.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.