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Finding the Fourth Proportional to 465.32, 696.36 and 387.56

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Solution

The fourth proportional to 465.32, 696.36 and 387.56 is: 579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 696.36 = 387.56 : x
  2. Step 2: Convert to fraction form
    465.32/696.36 = 387.56/x
  3. Step 3: Cross multiply
    465.32x = 696.36 × 387.56
  4. Step 4: Simplify right side
    465.32x = 269,881.28
  5. Step 5: Solve for x
    x = 269,881.28/465.32
  6. Step 6: Final answer
    x = 579.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.