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Finding the Fourth Proportional to 390.30, 582.88 and 339.10

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Solution

The fourth proportional to 390.30, 582.88 and 339.10 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 582.88 = 339.10 : x
  2. Step 2: Convert to fraction form
    390.30/582.88 = 339.10/x
  3. Step 3: Cross multiply
    390.30x = 582.88 × 339.10
  4. Step 4: Simplify right side
    390.30x = 197,654.61
  5. Step 5: Solve for x
    x = 197,654.61/390.30
  6. Step 6: Final answer
    x = 506.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.