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Finding the Fourth Proportional to 436.82, 602.54 and 259.66

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Solution

The fourth proportional to 436.82, 602.54 and 259.66 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.82 : 602.54 = 259.66 : x
  2. Step 2: Convert to fraction form
    436.82/602.54 = 259.66/x
  3. Step 3: Cross multiply
    436.82x = 602.54 × 259.66
  4. Step 4: Simplify right side
    436.82x = 156,451.23
  5. Step 5: Solve for x
    x = 156,451.23/436.82
  6. Step 6: Final answer
    x = 358.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.