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Finding the Fourth Proportional to 465.76, 699.36 and 392.56

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Solution

The fourth proportional to 465.76, 699.36 and 392.56 is: 589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 699.36 = 392.56 : x
  2. Step 2: Convert to fraction form
    465.76/699.36 = 392.56/x
  3. Step 3: Cross multiply
    465.76x = 699.36 × 392.56
  4. Step 4: Simplify right side
    465.76x = 274,540.76
  5. Step 5: Solve for x
    x = 274,540.76/465.76
  6. Step 6: Final answer
    x = 589.45

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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.