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Finding the Fourth Proportional to 436.69, 602.57 and 259.65

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Solution

The fourth proportional to 436.69, 602.57 and 259.65 is: 358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.69 : 602.57 = 259.65 : x
  2. Step 2: Convert to fraction form
    436.69/602.57 = 259.65/x
  3. Step 3: Cross multiply
    436.69x = 602.57 × 259.65
  4. Step 4: Simplify right side
    436.69x = 156,457.95
  5. Step 5: Solve for x
    x = 156,457.95/436.69
  6. Step 6: Final answer
    x = 358.29

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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.