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Finding the Fourth Proportional to 904.91, 1,357.26 and 319.64

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Solution

The fourth proportional to 904.91, 1,357.26 and 319.64 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.91 : 1,357.26 = 319.64 : x
  2. Step 2: Convert to fraction form
    904.91/1,357.26 = 319.64/x
  3. Step 3: Cross multiply
    904.91x = 1,357.26 × 319.64
  4. Step 4: Simplify right side
    904.91x = 433,834.59
  5. Step 5: Solve for x
    x = 433,834.59/904.91
  6. Step 6: Final answer
    x = 479.42

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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.