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Finding the Fourth Proportional to 423.75, 584.71 and 246.76

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Solution

The fourth proportional to 423.75, 584.71 and 246.76 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.75 : 584.71 = 246.76 : x
  2. Step 2: Convert to fraction form
    423.75/584.71 = 246.76/x
  3. Step 3: Cross multiply
    423.75x = 584.71 × 246.76
  4. Step 4: Simplify right side
    423.75x = 144,283.04
  5. Step 5: Solve for x
    x = 144,283.04/423.75
  6. Step 6: Final answer
    x = 340.49

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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.