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Finding the Fourth Proportional to 581.58, 871.97 and 256.50

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Solution

The fourth proportional to 581.58, 871.97 and 256.50 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 871.97 = 256.50 : x
  2. Step 2: Convert to fraction form
    581.58/871.97 = 256.50/x
  3. Step 3: Cross multiply
    581.58x = 871.97 × 256.50
  4. Step 4: Simplify right side
    581.58x = 223,659.02
  5. Step 5: Solve for x
    x = 223,659.02/581.58
  6. Step 6: Final answer
    x = 384.57

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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.