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Finding the Fourth Proportional to 583.71, 805.88 and 362.97

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Solution

The fourth proportional to 583.71, 805.88 and 362.97 is: 501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.71 : 805.88 = 362.97 : x
  2. Step 2: Convert to fraction form
    583.71/805.88 = 362.97/x
  3. Step 3: Cross multiply
    583.71x = 805.88 × 362.97
  4. Step 4: Simplify right side
    583.71x = 292,508.45
  5. Step 5: Solve for x
    x = 292,508.45/583.71
  6. Step 6: Final answer
    x = 501.12

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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.