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Finding the Fourth Proportional to 612.40, 844.78 and 402.56

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Solution

The fourth proportional to 612.40, 844.78 and 402.56 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.40 : 844.78 = 402.56 : x
  2. Step 2: Convert to fraction form
    612.40/844.78 = 402.56/x
  3. Step 3: Cross multiply
    612.40x = 844.78 × 402.56
  4. Step 4: Simplify right side
    612.40x = 340,074.64
  5. Step 5: Solve for x
    x = 340,074.64/612.40
  6. Step 6: Final answer
    x = 555.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.