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Finding the Fourth Proportional to 390.84, 585.60 and 228.12

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Solution

The fourth proportional to 390.84, 585.60 and 228.12 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 585.60 = 228.12 : x
  2. Step 2: Convert to fraction form
    390.84/585.60 = 228.12/x
  3. Step 3: Cross multiply
    390.84x = 585.60 × 228.12
  4. Step 4: Simplify right side
    390.84x = 133,587.07
  5. Step 5: Solve for x
    x = 133,587.07/390.84
  6. Step 6: Final answer
    x = 341.79

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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.