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Finding the Fourth Proportional to 583.74, 806.13 and 362.79

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Solution

The fourth proportional to 583.74, 806.13 and 362.79 is: 501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 806.13 = 362.79 : x
  2. Step 2: Convert to fraction form
    583.74/806.13 = 362.79/x
  3. Step 3: Cross multiply
    583.74x = 806.13 × 362.79
  4. Step 4: Simplify right side
    583.74x = 292,455.90
  5. Step 5: Solve for x
    x = 292,455.90/583.74
  6. Step 6: Final answer
    x = 501.00

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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.