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Finding the Fourth Proportional to 381.68, 526.74 and 288.26

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Solution

The fourth proportional to 381.68, 526.74 and 288.26 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 526.74 = 288.26 : x
  2. Step 2: Convert to fraction form
    381.68/526.74 = 288.26/x
  3. Step 3: Cross multiply
    381.68x = 526.74 × 288.26
  4. Step 4: Simplify right side
    381.68x = 151,838.12
  5. Step 5: Solve for x
    x = 151,838.12/381.68
  6. Step 6: Final answer
    x = 397.82

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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.