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Finding the Fourth Proportional to 390.66, 590.42 and 383.94

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Solution

The fourth proportional to 390.66, 590.42 and 383.94 is: 580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.66 : 590.42 = 383.94 : x
  2. Step 2: Convert to fraction form
    390.66/590.42 = 383.94/x
  3. Step 3: Cross multiply
    390.66x = 590.42 × 383.94
  4. Step 4: Simplify right side
    390.66x = 226,685.85
  5. Step 5: Solve for x
    x = 226,685.85/390.66
  6. Step 6: Final answer
    x = 580.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.