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Finding the Fourth Proportional to 904.86, 1,357.14 and 319.84

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Solution

The fourth proportional to 904.86, 1,357.14 and 319.84 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.86 : 1,357.14 = 319.84 : x
  2. Step 2: Convert to fraction form
    904.86/1,357.14 = 319.84/x
  3. Step 3: Cross multiply
    904.86x = 1,357.14 × 319.84
  4. Step 4: Simplify right side
    904.86x = 434,067.66
  5. Step 5: Solve for x
    x = 434,067.66/904.86
  6. Step 6: Final answer
    x = 479.71

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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.