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Finding the Fourth Proportional to 904.58, 1,357.08 and 327.46

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Solution

The fourth proportional to 904.58, 1,357.08 and 327.46 is: 491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.58 : 1,357.08 = 327.46 : x
  2. Step 2: Convert to fraction form
    904.58/1,357.08 = 327.46/x
  3. Step 3: Cross multiply
    904.58x = 1,357.08 × 327.46
  4. Step 4: Simplify right side
    904.58x = 444,380.99
  5. Step 5: Solve for x
    x = 444,380.99/904.58
  6. Step 6: Final answer
    x = 491.26

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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.