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Finding the Fourth Proportional to 583.58, 805.08 and 334.85

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Solution

The fourth proportional to 583.58, 805.08 and 334.85 is: 461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 805.08 = 334.85 : x
  2. Step 2: Convert to fraction form
    583.58/805.08 = 334.85/x
  3. Step 3: Cross multiply
    583.58x = 805.08 × 334.85
  4. Step 4: Simplify right side
    583.58x = 269,581.04
  5. Step 5: Solve for x
    x = 269,581.04/583.58
  6. Step 6: Final answer
    x = 461.94

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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.