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Finding the Fourth Proportional to 583.57, 805.38 and 334.85

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Solution

The fourth proportional to 583.57, 805.38 and 334.85 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.57 : 805.38 = 334.85 : x
  2. Step 2: Convert to fraction form
    583.57/805.38 = 334.85/x
  3. Step 3: Cross multiply
    583.57x = 805.38 × 334.85
  4. Step 4: Simplify right side
    583.57x = 269,680.74
  5. Step 5: Solve for x
    x = 269,680.74/583.57
  6. Step 6: Final answer
    x = 462.12

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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.