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Finding the Fourth Proportional to 583.74, 805.50 and 362.61

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Solution

The fourth proportional to 583.74, 805.50 and 362.61 is: 500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.50 = 362.61 : x
  2. Step 2: Convert to fraction form
    583.74/805.50 = 362.61/x
  3. Step 3: Cross multiply
    583.74x = 805.50 × 362.61
  4. Step 4: Simplify right side
    583.74x = 292,082.36
  5. Step 5: Solve for x
    x = 292,082.36/583.74
  6. Step 6: Final answer
    x = 500.36

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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.