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Finding the Fourth Proportional to 436.24, 602.04 and 280.72

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Solution

The fourth proportional to 436.24, 602.04 and 280.72 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.24 : 602.04 = 280.72 : x
  2. Step 2: Convert to fraction form
    436.24/602.04 = 280.72/x
  3. Step 3: Cross multiply
    436.24x = 602.04 × 280.72
  4. Step 4: Simplify right side
    436.24x = 169,004.67
  5. Step 5: Solve for x
    x = 169,004.67/436.24
  6. Step 6: Final answer
    x = 387.41

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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.