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Finding the Fourth Proportional to 488.36, 731.16 and 389.93

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Solution

The fourth proportional to 488.36, 731.16 and 389.93 is: 583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 731.16 = 389.93 : x
  2. Step 2: Convert to fraction form
    488.36/731.16 = 389.93/x
  3. Step 3: Cross multiply
    488.36x = 731.16 × 389.93
  4. Step 4: Simplify right side
    488.36x = 285,101.22
  5. Step 5: Solve for x
    x = 285,101.22/488.36
  6. Step 6: Final answer
    x = 583.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.