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Finding the Fourth Proportional to 389.14, 583.35 and 316.42

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Solution

The fourth proportional to 389.14, 583.35 and 316.42 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 583.35 = 316.42 : x
  2. Step 2: Convert to fraction form
    389.14/583.35 = 316.42/x
  3. Step 3: Cross multiply
    389.14x = 583.35 × 316.42
  4. Step 4: Simplify right side
    389.14x = 184,583.61
  5. Step 5: Solve for x
    x = 184,583.61/389.14
  6. Step 6: Final answer
    x = 474.34

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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.