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Finding the Fourth Proportional to 583.98, 806.18 and 363.46

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Solution

The fourth proportional to 583.98, 806.18 and 363.46 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 806.18 = 363.46 : x
  2. Step 2: Convert to fraction form
    583.98/806.18 = 363.46/x
  3. Step 3: Cross multiply
    583.98x = 806.18 × 363.46
  4. Step 4: Simplify right side
    583.98x = 293,014.18
  5. Step 5: Solve for x
    x = 293,014.18/583.98
  6. Step 6: Final answer
    x = 501.75

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1.5x scale

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.