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Finding the Fourth Proportional to 436.56, 602.21 and 296.67

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Solution

The fourth proportional to 436.56, 602.21 and 296.67 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 602.21 = 296.67 : x
  2. Step 2: Convert to fraction form
    436.56/602.21 = 296.67/x
  3. Step 3: Cross multiply
    436.56x = 602.21 × 296.67
  4. Step 4: Simplify right side
    436.56x = 178,660.64
  5. Step 5: Solve for x
    x = 178,660.64/436.56
  6. Step 6: Final answer
    x = 409.25

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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.