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Finding the Fourth Proportional to 583.13, 805.01 and 362.27

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Solution

The fourth proportional to 583.13, 805.01 and 362.27 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 805.01 = 362.27 : x
  2. Step 2: Convert to fraction form
    583.13/805.01 = 362.27/x
  3. Step 3: Cross multiply
    583.13x = 805.01 × 362.27
  4. Step 4: Simplify right side
    583.13x = 291,630.97
  5. Step 5: Solve for x
    x = 291,630.97/583.13
  6. Step 6: Final answer
    x = 500.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.