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Finding the Fourth Proportional to 436.83, 602.13 and 296.91

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Solution

The fourth proportional to 436.83, 602.13 and 296.91 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.83 : 602.13 = 296.91 : x
  2. Step 2: Convert to fraction form
    436.83/602.13 = 296.91/x
  3. Step 3: Cross multiply
    436.83x = 602.13 × 296.91
  4. Step 4: Simplify right side
    436.83x = 178,778.42
  5. Step 5: Solve for x
    x = 178,778.42/436.83
  6. Step 6: Final answer
    x = 409.26

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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.