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Finding the Fourth Proportional to 436.68, 655.29 and 296.28

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Solution

The fourth proportional to 436.68, 655.29 and 296.28 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 655.29 = 296.28 : x
  2. Step 2: Convert to fraction form
    436.68/655.29 = 296.28/x
  3. Step 3: Cross multiply
    436.68x = 655.29 × 296.28
  4. Step 4: Simplify right side
    436.68x = 194,149.32
  5. Step 5: Solve for x
    x = 194,149.32/436.68
  6. Step 6: Final answer
    x = 444.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.