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Finding the Fourth Proportional to 555.96, 767.67 and 346.44

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Solution

The fourth proportional to 555.96, 767.67 and 346.44 is: 478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 767.67 = 346.44 : x
  2. Step 2: Convert to fraction form
    555.96/767.67 = 346.44/x
  3. Step 3: Cross multiply
    555.96x = 767.67 × 346.44
  4. Step 4: Simplify right side
    555.96x = 265,951.59
  5. Step 5: Solve for x
    x = 265,951.59/555.96
  6. Step 6: Final answer
    x = 478.36

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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.