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Finding the Fourth Proportional to 583.76, 805.34 and 350.75

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Solution

The fourth proportional to 583.76, 805.34 and 350.75 is: 483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 805.34 = 350.75 : x
  2. Step 2: Convert to fraction form
    583.76/805.34 = 350.75/x
  3. Step 3: Cross multiply
    583.76x = 805.34 × 350.75
  4. Step 4: Simplify right side
    583.76x = 282,471.25
  5. Step 5: Solve for x
    x = 282,471.25/583.76
  6. Step 6: Final answer
    x = 483.88

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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.