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Finding the Fourth Proportional to 909.29, 1,362.72 and 421.27

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Solution

The fourth proportional to 909.29, 1,362.72 and 421.27 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.29 : 1,362.72 = 421.27 : x
  2. Step 2: Convert to fraction form
    909.29/1,362.72 = 421.27/x
  3. Step 3: Cross multiply
    909.29x = 1,362.72 × 421.27
  4. Step 4: Simplify right side
    909.29x = 574,071.23
  5. Step 5: Solve for x
    x = 574,071.23/909.29
  6. Step 6: Final answer
    x = 631.34

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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.