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Finding the Fourth Proportional to 544.70, 817.46 and 256.34

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Solution

The fourth proportional to 544.70, 817.46 and 256.34 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.70 : 817.46 = 256.34 : x
  2. Step 2: Convert to fraction form
    544.70/817.46 = 256.34/x
  3. Step 3: Cross multiply
    544.70x = 817.46 × 256.34
  4. Step 4: Simplify right side
    544.70x = 209,549.42
  5. Step 5: Solve for x
    x = 209,549.42/544.70
  6. Step 6: Final answer
    x = 384.70

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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.