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Finding the Fourth Proportional to 407.90, 612.16 and 299.97

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Solution

The fourth proportional to 407.90, 612.16 and 299.97 is: 450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.90 : 612.16 = 299.97 : x
  2. Step 2: Convert to fraction form
    407.90/612.16 = 299.97/x
  3. Step 3: Cross multiply
    407.90x = 612.16 × 299.97
  4. Step 4: Simplify right side
    407.90x = 183,628.89
  5. Step 5: Solve for x
    x = 183,628.89/407.90
  6. Step 6: Final answer
    x = 450.18

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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.