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Finding the Fourth Proportional to 904.81, 1,357.22 and 319.68

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Solution

The fourth proportional to 904.81, 1,357.22 and 319.68 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.81 : 1,357.22 = 319.68 : x
  2. Step 2: Convert to fraction form
    904.81/1,357.22 = 319.68/x
  3. Step 3: Cross multiply
    904.81x = 1,357.22 × 319.68
  4. Step 4: Simplify right side
    904.81x = 433,876.09
  5. Step 5: Solve for x
    x = 433,876.09/904.81
  6. Step 6: Final answer
    x = 479.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.