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Finding the Fourth Proportional to 602.54, 904.14 and 255.83

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Solution

The fourth proportional to 602.54, 904.14 and 255.83 is: 383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.54 : 904.14 = 255.83 : x
  2. Step 2: Convert to fraction form
    602.54/904.14 = 255.83/x
  3. Step 3: Cross multiply
    602.54x = 904.14 × 255.83
  4. Step 4: Simplify right side
    602.54x = 231,306.14
  5. Step 5: Solve for x
    x = 231,306.14/602.54
  6. Step 6: Final answer
    x = 383.89

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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.