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Finding the Fourth Proportional to 334.44, 503.64 and 296.28

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Solution

The fourth proportional to 334.44, 503.64 and 296.28 is: 446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 503.64 = 296.28 : x
  2. Step 2: Convert to fraction form
    334.44/503.64 = 296.28/x
  3. Step 3: Cross multiply
    334.44x = 503.64 × 296.28
  4. Step 4: Simplify right side
    334.44x = 149,218.46
  5. Step 5: Solve for x
    x = 149,218.46/334.44
  6. Step 6: Final answer
    x = 446.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.