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Finding the Fourth Proportional to 377.01, 564.66 and 335.97

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Solution

The fourth proportional to 377.01, 564.66 and 335.97 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.01 : 564.66 = 335.97 : x
  2. Step 2: Convert to fraction form
    377.01/564.66 = 335.97/x
  3. Step 3: Cross multiply
    377.01x = 564.66 × 335.97
  4. Step 4: Simplify right side
    377.01x = 189,708.82
  5. Step 5: Solve for x
    x = 189,708.82/377.01
  6. Step 6: Final answer
    x = 503.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.