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Finding the Fourth Proportional to 320.51, 439.91 and 284.73

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Solution

The fourth proportional to 320.51, 439.91 and 284.73 is: 390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.51 : 439.91 = 284.73 : x
  2. Step 2: Convert to fraction form
    320.51/439.91 = 284.73/x
  3. Step 3: Cross multiply
    320.51x = 439.91 × 284.73
  4. Step 4: Simplify right side
    320.51x = 125,254.15
  5. Step 5: Solve for x
    x = 125,254.15/320.51
  6. Step 6: Final answer
    x = 390.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.