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Finding the Fourth Proportional to 423.64, 584.57 and 237.10

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Solution

The fourth proportional to 423.64, 584.57 and 237.10 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 584.57 = 237.10 : x
  2. Step 2: Convert to fraction form
    423.64/584.57 = 237.10/x
  3. Step 3: Cross multiply
    423.64x = 584.57 × 237.10
  4. Step 4: Simplify right side
    423.64x = 138,602.87
  5. Step 5: Solve for x
    x = 138,602.87/423.64
  6. Step 6: Final answer
    x = 327.17

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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.