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Finding the Fourth Proportional to 423.64, 584.50 and 246.52

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Solution

The fourth proportional to 423.64, 584.50 and 246.52 is: 340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 584.50 = 246.52 : x
  2. Step 2: Convert to fraction form
    423.64/584.50 = 246.52/x
  3. Step 3: Cross multiply
    423.64x = 584.50 × 246.52
  4. Step 4: Simplify right side
    423.64x = 144,090.94
  5. Step 5: Solve for x
    x = 144,090.94/423.64
  6. Step 6: Final answer
    x = 340.13

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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.