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Finding the Fourth Proportional to 564.83, 847.54 and 256.66

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Solution

The fourth proportional to 564.83, 847.54 and 256.66 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 847.54 = 256.66 : x
  2. Step 2: Convert to fraction form
    564.83/847.54 = 256.66/x
  3. Step 3: Cross multiply
    564.83x = 847.54 × 256.66
  4. Step 4: Simplify right side
    564.83x = 217,527.82
  5. Step 5: Solve for x
    x = 217,527.82/564.83
  6. Step 6: Final answer
    x = 385.12

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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.