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Finding the Fourth Proportional to 428.04, 589.77 and 296.82

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Solution

The fourth proportional to 428.04, 589.77 and 296.82 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 589.77 = 296.82 : x
  2. Step 2: Convert to fraction form
    428.04/589.77 = 296.82/x
  3. Step 3: Cross multiply
    428.04x = 589.77 × 296.82
  4. Step 4: Simplify right side
    428.04x = 175,055.53
  5. Step 5: Solve for x
    x = 175,055.53/428.04
  6. Step 6: Final answer
    x = 408.97

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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.