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Finding the Fourth Proportional to 436.25, 601.93 and 259.20

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Solution

The fourth proportional to 436.25, 601.93 and 259.20 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.25 : 601.93 = 259.20 : x
  2. Step 2: Convert to fraction form
    436.25/601.93 = 259.20/x
  3. Step 3: Cross multiply
    436.25x = 601.93 × 259.20
  4. Step 4: Simplify right side
    436.25x = 156,020.58
  5. Step 5: Solve for x
    x = 156,020.58/436.25
  6. Step 6: Final answer
    x = 357.64

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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.