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Finding the Fourth Proportional to 908.66, 1,362.77 and 421.24

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Solution

The fourth proportional to 908.66, 1,362.77 and 421.24 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.66 : 1,362.77 = 421.24 : x
  2. Step 2: Convert to fraction form
    908.66/1,362.77 = 421.24/x
  3. Step 3: Cross multiply
    908.66x = 1,362.77 × 421.24
  4. Step 4: Simplify right side
    908.66x = 574,053.23
  5. Step 5: Solve for x
    x = 574,053.23/908.66
  6. Step 6: Final answer
    x = 631.76

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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.