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Finding the Fourth Proportional to 583.88, 805.78 and 362.84

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Solution

The fourth proportional to 583.88, 805.78 and 362.84 is: 500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 805.78 = 362.84 : x
  2. Step 2: Convert to fraction form
    583.88/805.78 = 362.84/x
  3. Step 3: Cross multiply
    583.88x = 805.78 × 362.84
  4. Step 4: Simplify right side
    583.88x = 292,369.22
  5. Step 5: Solve for x
    x = 292,369.22/583.88
  6. Step 6: Final answer
    x = 500.74

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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.