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Finding the Fourth Proportional to 380.40, 524.95 and 205.74

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Solution

The fourth proportional to 380.40, 524.95 and 205.74 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 524.95 = 205.74 : x
  2. Step 2: Convert to fraction form
    380.40/524.95 = 205.74/x
  3. Step 3: Cross multiply
    380.40x = 524.95 × 205.74
  4. Step 4: Simplify right side
    380.40x = 108,005.93
  5. Step 5: Solve for x
    x = 108,005.93/380.40
  6. Step 6: Final answer
    x = 283.93

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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.