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Finding the Fourth Proportional to 583.67, 805.48 and 318.12

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Solution

The fourth proportional to 583.67, 805.48 and 318.12 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 805.48 = 318.12 : x
  2. Step 2: Convert to fraction form
    583.67/805.48 = 318.12/x
  3. Step 3: Cross multiply
    583.67x = 805.48 × 318.12
  4. Step 4: Simplify right side
    583.67x = 256,239.30
  5. Step 5: Solve for x
    x = 256,239.30/583.67
  6. Step 6: Final answer
    x = 439.01

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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.