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Finding the Fourth Proportional to 904.96, 1,357.26 and 255.52

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Solution

The fourth proportional to 904.96, 1,357.26 and 255.52 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.96 : 1,357.26 = 255.52 : x
  2. Step 2: Convert to fraction form
    904.96/1,357.26 = 255.52/x
  3. Step 3: Cross multiply
    904.96x = 1,357.26 × 255.52
  4. Step 4: Simplify right side
    904.96x = 346,807.08
  5. Step 5: Solve for x
    x = 346,807.08/904.96
  6. Step 6: Final answer
    x = 383.23

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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.