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Finding the Fourth Proportional to 583.58, 805.67 and 387.36

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Solution

The fourth proportional to 583.58, 805.67 and 387.36 is: 534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 805.67 = 387.36 : x
  2. Step 2: Convert to fraction form
    583.58/805.67 = 387.36/x
  3. Step 3: Cross multiply
    583.58x = 805.67 × 387.36
  4. Step 4: Simplify right side
    583.58x = 312,084.33
  5. Step 5: Solve for x
    x = 312,084.33/583.58
  6. Step 6: Final answer
    x = 534.78

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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.