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Finding the Fourth Proportional to 564.70, 847.35 and 256.53

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Solution

The fourth proportional to 564.70, 847.35 and 256.53 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 847.35 = 256.53 : x
  2. Step 2: Convert to fraction form
    564.70/847.35 = 256.53/x
  3. Step 3: Cross multiply
    564.70x = 847.35 × 256.53
  4. Step 4: Simplify right side
    564.70x = 217,370.70
  5. Step 5: Solve for x
    x = 217,370.70/564.70
  6. Step 6: Final answer
    x = 384.93

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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.