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Finding the Fourth Proportional to 421, 581.06 and 237

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Solution

The fourth proportional to 421, 581.06 and 237 is: 327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 581.06 = 237 : x
  2. Step 2: Convert to fraction form
    421/581.06 = 237/x
  3. Step 3: Cross multiply
    421x = 581.06 × 237
  4. Step 4: Simplify right side
    421x = 137,711.22
  5. Step 5: Solve for x
    x = 137,711.22/421
  6. Step 6: Final answer
    x = 327.11

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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.