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Finding the Fourth Proportional to 583.94, 806.17 and 385.35

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Solution

The fourth proportional to 583.94, 806.17 and 385.35 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 806.17 = 385.35 : x
  2. Step 2: Convert to fraction form
    583.94/806.17 = 385.35/x
  3. Step 3: Cross multiply
    583.94x = 806.17 × 385.35
  4. Step 4: Simplify right side
    583.94x = 310,655.59
  5. Step 5: Solve for x
    x = 310,655.59/583.94
  6. Step 6: Final answer
    x = 532.00

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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.