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Finding the Fourth Proportional to 528.41, 729.86 and 380.78

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Solution

The fourth proportional to 528.41, 729.86 and 380.78 is: 525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.41 : 729.86 = 380.78 : x
  2. Step 2: Convert to fraction form
    528.41/729.86 = 380.78/x
  3. Step 3: Cross multiply
    528.41x = 729.86 × 380.78
  4. Step 4: Simplify right side
    528.41x = 277,916.01
  5. Step 5: Solve for x
    x = 277,916.01/528.41
  6. Step 6: Final answer
    x = 525.95

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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.