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Finding the Fourth Proportional to 355.01, 531.50 and 274.01

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Solution

The fourth proportional to 355.01, 531.50 and 274.01 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.01 : 531.50 = 274.01 : x
  2. Step 2: Convert to fraction form
    355.01/531.50 = 274.01/x
  3. Step 3: Cross multiply
    355.01x = 531.50 × 274.01
  4. Step 4: Simplify right side
    355.01x = 145,632.29
  5. Step 5: Solve for x
    x = 145,632.29/355.01
  6. Step 6: Final answer
    x = 410.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.