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Finding the Fourth Proportional to 402.23, 603.48 and 292.34

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Solution

The fourth proportional to 402.23, 603.48 and 292.34 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 603.48 = 292.34 : x
  2. Step 2: Convert to fraction form
    402.23/603.48 = 292.34/x
  3. Step 3: Cross multiply
    402.23x = 603.48 × 292.34
  4. Step 4: Simplify right side
    402.23x = 176,420.21
  5. Step 5: Solve for x
    x = 176,420.21/402.23
  6. Step 6: Final answer
    x = 438.60

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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.