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Finding the Fourth Proportional to 381.30, 526.59 and 293.10

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Solution

The fourth proportional to 381.30, 526.59 and 293.10 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 526.59 = 293.10 : x
  2. Step 2: Convert to fraction form
    381.30/526.59 = 293.10/x
  3. Step 3: Cross multiply
    381.30x = 526.59 × 293.10
  4. Step 4: Simplify right side
    381.30x = 154,343.53
  5. Step 5: Solve for x
    x = 154,343.53/381.30
  6. Step 6: Final answer
    x = 404.78

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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.