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Finding the Fourth Proportional to 382.05, 526.55 and 292.28

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Solution

The fourth proportional to 382.05, 526.55 and 292.28 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 526.55 = 292.28 : x
  2. Step 2: Convert to fraction form
    382.05/526.55 = 292.28/x
  3. Step 3: Cross multiply
    382.05x = 526.55 × 292.28
  4. Step 4: Simplify right side
    382.05x = 153,895.94
  5. Step 5: Solve for x
    x = 153,895.94/382.05
  6. Step 6: Final answer
    x = 402.82

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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.