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Finding the Fourth Proportional to 436.74, 602.20 and 296.93

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Solution

The fourth proportional to 436.74, 602.20 and 296.93 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.74 : 602.20 = 296.93 : x
  2. Step 2: Convert to fraction form
    436.74/602.20 = 296.93/x
  3. Step 3: Cross multiply
    436.74x = 602.20 × 296.93
  4. Step 4: Simplify right side
    436.74x = 178,815.02
  5. Step 5: Solve for x
    x = 178,815.02/436.74
  6. Step 6: Final answer
    x = 409.44

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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.