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Finding the Fourth Proportional to 418.26, 577.08 and 263.02

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Solution

The fourth proportional to 418.26, 577.08 and 263.02 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 577.08 = 263.02 : x
  2. Step 2: Convert to fraction form
    418.26/577.08 = 263.02/x
  3. Step 3: Cross multiply
    418.26x = 577.08 × 263.02
  4. Step 4: Simplify right side
    418.26x = 151,783.58
  5. Step 5: Solve for x
    x = 151,783.58/418.26
  6. Step 6: Final answer
    x = 362.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.