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Finding the Fourth Proportional to 581.24, 801.69 and 381.83

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Solution

The fourth proportional to 581.24, 801.69 and 381.83 is: 526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 801.69 = 381.83 : x
  2. Step 2: Convert to fraction form
    581.24/801.69 = 381.83/x
  3. Step 3: Cross multiply
    581.24x = 801.69 × 381.83
  4. Step 4: Simplify right side
    581.24x = 306,105.28
  5. Step 5: Solve for x
    x = 306,105.28/581.24
  6. Step 6: Final answer
    x = 526.65

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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.