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Finding the Fourth Proportional to 407.84, 612.30 and 254.48

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Solution

The fourth proportional to 407.84, 612.30 and 254.48 is: 382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 612.30 = 254.48 : x
  2. Step 2: Convert to fraction form
    407.84/612.30 = 254.48/x
  3. Step 3: Cross multiply
    407.84x = 612.30 × 254.48
  4. Step 4: Simplify right side
    407.84x = 155,818.10
  5. Step 5: Solve for x
    x = 155,818.10/407.84
  6. Step 6: Final answer
    x = 382.06

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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.