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Finding the Fourth Proportional to 904.88, 1,357.14 and 255.48

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Solution

The fourth proportional to 904.88, 1,357.14 and 255.48 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.88 : 1,357.14 = 255.48 : x
  2. Step 2: Convert to fraction form
    904.88/1,357.14 = 255.48/x
  3. Step 3: Cross multiply
    904.88x = 1,357.14 × 255.48
  4. Step 4: Simplify right side
    904.88x = 346,722.13
  5. Step 5: Solve for x
    x = 346,722.13/904.88
  6. Step 6: Final answer
    x = 383.17

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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.