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Finding the Fourth Proportional to 382.32, 526.88 and 277.23

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Solution

The fourth proportional to 382.32, 526.88 and 277.23 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 526.88 = 277.23 : x
  2. Step 2: Convert to fraction form
    382.32/526.88 = 277.23/x
  3. Step 3: Cross multiply
    382.32x = 526.88 × 277.23
  4. Step 4: Simplify right side
    382.32x = 146,066.94
  5. Step 5: Solve for x
    x = 146,066.94/382.32
  6. Step 6: Final answer
    x = 382.05

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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.