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Finding the Fourth Proportional to 555.19, 766.06 and 342.43

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Solution

The fourth proportional to 555.19, 766.06 and 342.43 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 766.06 = 342.43 : x
  2. Step 2: Convert to fraction form
    555.19/766.06 = 342.43/x
  3. Step 3: Cross multiply
    555.19x = 766.06 × 342.43
  4. Step 4: Simplify right side
    555.19x = 262,321.93
  5. Step 5: Solve for x
    x = 262,321.93/555.19
  6. Step 6: Final answer
    x = 472.49

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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.