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Finding the Fourth Proportional to 583.38, 805.05 and 334.71

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Solution

The fourth proportional to 583.38, 805.05 and 334.71 is: 461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 805.05 = 334.71 : x
  2. Step 2: Convert to fraction form
    583.38/805.05 = 334.71/x
  3. Step 3: Cross multiply
    583.38x = 805.05 × 334.71
  4. Step 4: Simplify right side
    583.38x = 269,458.29
  5. Step 5: Solve for x
    x = 269,458.29/583.38
  6. Step 6: Final answer
    x = 461.89

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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.