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Finding the Fourth Proportional to 564.71, 846.91 and 256.40

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Solution

The fourth proportional to 564.71, 846.91 and 256.40 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 846.91 = 256.40 : x
  2. Step 2: Convert to fraction form
    564.71/846.91 = 256.40/x
  3. Step 3: Cross multiply
    564.71x = 846.91 × 256.40
  4. Step 4: Simplify right side
    564.71x = 217,146.44
  5. Step 5: Solve for x
    x = 217,146.44/564.71
  6. Step 6: Final answer
    x = 384.53

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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.