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Finding the Fourth Proportional to 565.34, 846.77 and 256.73

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Solution

The fourth proportional to 565.34, 846.77 and 256.73 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 846.77 = 256.73 : x
  2. Step 2: Convert to fraction form
    565.34/846.77 = 256.73/x
  3. Step 3: Cross multiply
    565.34x = 846.77 × 256.73
  4. Step 4: Simplify right side
    565.34x = 217,391.26
  5. Step 5: Solve for x
    x = 217,391.26/565.34
  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.