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Finding the Fourth Proportional to 382.16, 526.61 and 265.52

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Solution

The fourth proportional to 382.16, 526.61 and 265.52 is: 365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 526.61 = 265.52 : x
  2. Step 2: Convert to fraction form
    382.16/526.61 = 265.52/x
  3. Step 3: Cross multiply
    382.16x = 526.61 × 265.52
  4. Step 4: Simplify right side
    382.16x = 139,821.53
  5. Step 5: Solve for x
    x = 139,821.53/382.16
  6. Step 6: Final answer
    x = 365.88

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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.