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Finding the Fourth Proportional to 380.09, 524.39 and 291.48

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Solution

The fourth proportional to 380.09, 524.39 and 291.48 is: 402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.39 = 291.48 : x
  2. Step 2: Convert to fraction form
    380.09/524.39 = 291.48/x
  3. Step 3: Cross multiply
    380.09x = 524.39 × 291.48
  4. Step 4: Simplify right side
    380.09x = 152,847.74
  5. Step 5: Solve for x
    x = 152,847.74/380.09
  6. Step 6: Final answer
    x = 402.14

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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.