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Finding the Fourth Proportional to 591.50, 816.10 and 381.80

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Solution

The fourth proportional to 591.50, 816.10 and 381.80 is: 526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 816.10 = 381.80 : x
  2. Step 2: Convert to fraction form
    591.50/816.10 = 381.80/x
  3. Step 3: Cross multiply
    591.50x = 816.10 × 381.80
  4. Step 4: Simplify right side
    591.50x = 311,587.93
  5. Step 5: Solve for x
    x = 311,587.93/591.50
  6. Step 6: Final answer
    x = 526.77

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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.