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Finding the Fourth Proportional to 564.72, 847.06 and 256.51

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Solution

The fourth proportional to 564.72, 847.06 and 256.51 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 847.06 = 256.51 : x
  2. Step 2: Convert to fraction form
    564.72/847.06 = 256.51/x
  3. Step 3: Cross multiply
    564.72x = 847.06 × 256.51
  4. Step 4: Simplify right side
    564.72x = 217,279.36
  5. Step 5: Solve for x
    x = 217,279.36/564.72
  6. Step 6: Final answer
    x = 384.76

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