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Finding the Fourth Proportional to 581.78, 872.07 and 257.07

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Solution

The fourth proportional to 581.78, 872.07 and 257.07 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 872.07 = 257.07 : x
  2. Step 2: Convert to fraction form
    581.78/872.07 = 257.07/x
  3. Step 3: Cross multiply
    581.78x = 872.07 × 257.07
  4. Step 4: Simplify right side
    581.78x = 224,185.34
  5. Step 5: Solve for x
    x = 224,185.34/581.78
  6. Step 6: Final answer
    x = 385.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.