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Finding the Fourth Proportional to 436.29, 602.01 and 259.23

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Solution

The fourth proportional to 436.29, 602.01 and 259.23 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.29 : 602.01 = 259.23 : x
  2. Step 2: Convert to fraction form
    436.29/602.01 = 259.23/x
  3. Step 3: Cross multiply
    436.29x = 602.01 × 259.23
  4. Step 4: Simplify right side
    436.29x = 156,059.05
  5. Step 5: Solve for x
    x = 156,059.05/436.29
  6. Step 6: Final answer
    x = 357.70

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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.