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Finding the Fourth Proportional to 555.36, 766.19 and 334.38

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Solution

The fourth proportional to 555.36, 766.19 and 334.38 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.36 : 766.19 = 334.38 : x
  2. Step 2: Convert to fraction form
    555.36/766.19 = 334.38/x
  3. Step 3: Cross multiply
    555.36x = 766.19 × 334.38
  4. Step 4: Simplify right side
    555.36x = 256,196.94
  5. Step 5: Solve for x
    x = 256,196.94/555.36
  6. Step 6: Final answer
    x = 461.32

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Why These Related Problems?

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