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Finding the Fourth Proportional to 581.17, 801.55 and 511.08

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Solution

The fourth proportional to 581.17, 801.55 and 511.08 is: 704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.17 : 801.55 = 511.08 : x
  2. Step 2: Convert to fraction form
    581.17/801.55 = 511.08/x
  3. Step 3: Cross multiply
    581.17x = 801.55 × 511.08
  4. Step 4: Simplify right side
    581.17x = 409,653.62
  5. Step 5: Solve for x
    x = 409,653.62/581.17
  6. Step 6: Final answer
    x = 704.88

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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.