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Finding the Fourth Proportional to 436.45, 601.71 and 296.32

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Solution

The fourth proportional to 436.45, 601.71 and 296.32 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.45 : 601.71 = 296.32 : x
  2. Step 2: Convert to fraction form
    436.45/601.71 = 296.32/x
  3. Step 3: Cross multiply
    436.45x = 601.71 × 296.32
  4. Step 4: Simplify right side
    436.45x = 178,298.71
  5. Step 5: Solve for x
    x = 178,298.71/436.45
  6. Step 6: Final answer
    x = 408.52

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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.