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Finding the Fourth Proportional to 555.42, 766.24 and 334.25

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Solution

The fourth proportional to 555.42, 766.24 and 334.25 is: 461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 766.24 = 334.25 : x
  2. Step 2: Convert to fraction form
    555.42/766.24 = 334.25/x
  3. Step 3: Cross multiply
    555.42x = 766.24 × 334.25
  4. Step 4: Simplify right side
    555.42x = 256,111.05
  5. Step 5: Solve for x
    x = 256,111.05/555.42
  6. Step 6: Final answer
    x = 461.11

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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.