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Finding the Fourth Proportional to 583.70, 805.47 and 335.03

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Solution

The fourth proportional to 583.70, 805.47 and 335.03 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 805.47 = 335.03 : x
  2. Step 2: Convert to fraction form
    583.70/805.47 = 335.03/x
  3. Step 3: Cross multiply
    583.70x = 805.47 × 335.03
  4. Step 4: Simplify right side
    583.70x = 269,856.61
  5. Step 5: Solve for x
    x = 269,856.61/583.70
  6. Step 6: Final answer
    x = 462.32

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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.