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Finding the Fourth Proportional to 555.92, 766.96 and 346.24

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Solution

The fourth proportional to 555.92, 766.96 and 346.24 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.92 : 766.96 = 346.24 : x
  2. Step 2: Convert to fraction form
    555.92/766.96 = 346.24/x
  3. Step 3: Cross multiply
    555.92x = 766.96 × 346.24
  4. Step 4: Simplify right side
    555.92x = 265,552.23
  5. Step 5: Solve for x
    x = 265,552.23/555.92
  6. Step 6: Final answer
    x = 477.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.