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Finding the Fourth Proportional to 354.45, 488.93 and 299.10

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Solution

The fourth proportional to 354.45, 488.93 and 299.10 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.45 : 488.93 = 299.10 : x
  2. Step 2: Convert to fraction form
    354.45/488.93 = 299.10/x
  3. Step 3: Cross multiply
    354.45x = 488.93 × 299.10
  4. Step 4: Simplify right side
    354.45x = 146,238.96
  5. Step 5: Solve for x
    x = 146,238.96/354.45
  6. Step 6: Final answer
    x = 412.58

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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.