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Finding the Fourth Proportional to 390.66, 585.10 and 286.71

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Solution

The fourth proportional to 390.66, 585.10 and 286.71 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.66 : 585.10 = 286.71 : x
  2. Step 2: Convert to fraction form
    390.66/585.10 = 286.71/x
  3. Step 3: Cross multiply
    390.66x = 585.10 × 286.71
  4. Step 4: Simplify right side
    390.66x = 167,754.02
  5. Step 5: Solve for x
    x = 167,754.02/390.66
  6. Step 6: Final answer
    x = 429.41

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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.