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Finding the Fourth Proportional to 380.06, 523.87 and 297.02

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Solution

The fourth proportional to 380.06, 523.87 and 297.02 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 523.87 = 297.02 : x
  2. Step 2: Convert to fraction form
    380.06/523.87 = 297.02/x
  3. Step 3: Cross multiply
    380.06x = 523.87 × 297.02
  4. Step 4: Simplify right side
    380.06x = 155,598.38
  5. Step 5: Solve for x
    x = 155,598.38/380.06
  6. Step 6: Final answer
    x = 409.40

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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.