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Finding the Fourth Proportional to 581.83, 872.88 and 257.02

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Solution

The fourth proportional to 581.83, 872.88 and 257.02 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 872.88 = 257.02 : x
  2. Step 2: Convert to fraction form
    581.83/872.88 = 257.02/x
  3. Step 3: Cross multiply
    581.83x = 872.88 × 257.02
  4. Step 4: Simplify right side
    581.83x = 224,347.62
  5. Step 5: Solve for x
    x = 224,347.62/581.83
  6. Step 6: Final answer
    x = 385.59

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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.