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Finding the Fourth Proportional to 602.62, 904.12 and 277.80

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Solution

The fourth proportional to 602.62, 904.12 and 277.80 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.62 : 904.12 = 277.80 : x
  2. Step 2: Convert to fraction form
    602.62/904.12 = 277.80/x
  3. Step 3: Cross multiply
    602.62x = 904.12 × 277.80
  4. Step 4: Simplify right side
    602.62x = 251,164.54
  5. Step 5: Solve for x
    x = 251,164.54/602.62
  6. Step 6: Final answer
    x = 416.79

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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.