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Finding the Fourth Proportional to 591.17, 815.70 and 381.30

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Solution

The fourth proportional to 591.17, 815.70 and 381.30 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.17 : 815.70 = 381.30 : x
  2. Step 2: Convert to fraction form
    591.17/815.70 = 381.30/x
  3. Step 3: Cross multiply
    591.17x = 815.70 × 381.30
  4. Step 4: Simplify right side
    591.17x = 311,024.50
  5. Step 5: Solve for x
    x = 311,024.50/591.17
  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.