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Finding the Fourth Proportional to 529.50, 729.66 and 381.87

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Solution

The fourth proportional to 529.50, 729.66 and 381.87 is: 526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 729.66 = 381.87 : x
  2. Step 2: Convert to fraction form
    529.50/729.66 = 381.87/x
  3. Step 3: Cross multiply
    529.50x = 729.66 × 381.87
  4. Step 4: Simplify right side
    529.50x = 278,635.26
  5. Step 5: Solve for x
    x = 278,635.26/529.50
  6. Step 6: Final answer
    x = 526.22

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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.