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Finding the Fourth Proportional to 529.40, 729.57 and 381.77

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Solution

The fourth proportional to 529.40, 729.57 and 381.77 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 729.57 = 381.77 : x
  2. Step 2: Convert to fraction form
    529.40/729.57 = 381.77/x
  3. Step 3: Cross multiply
    529.40x = 729.57 × 381.77
  4. Step 4: Simplify right side
    529.40x = 278,527.94
  5. Step 5: Solve for x
    x = 278,527.94/529.40
  6. Step 6: Final answer
    x = 526.12

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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.