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Finding the Fourth Proportional to 511.66, 705.45 and 337.06

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Solution

The fourth proportional to 511.66, 705.45 and 337.06 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.66 : 705.45 = 337.06 : x
  2. Step 2: Convert to fraction form
    511.66/705.45 = 337.06/x
  3. Step 3: Cross multiply
    511.66x = 705.45 × 337.06
  4. Step 4: Simplify right side
    511.66x = 237,778.98
  5. Step 5: Solve for x
    x = 237,778.98/511.66
  6. Step 6: Final answer
    x = 464.72

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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.