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Finding the Fourth Proportional to 390.12, 583.96 and 214.18

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Solution

The fourth proportional to 390.12, 583.96 and 214.18 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 583.96 = 214.18 : x
  2. Step 2: Convert to fraction form
    390.12/583.96 = 214.18/x
  3. Step 3: Cross multiply
    390.12x = 583.96 × 214.18
  4. Step 4: Simplify right side
    390.12x = 125,074.24
  5. Step 5: Solve for x
    x = 125,074.24/390.12
  6. Step 6: Final answer
    x = 320.60

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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.