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Finding the Fourth Proportional to 495.94, 744.12 and 207.58

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Solution

The fourth proportional to 495.94, 744.12 and 207.58 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.94 : 744.12 = 207.58 : x
  2. Step 2: Convert to fraction form
    495.94/744.12 = 207.58/x
  3. Step 3: Cross multiply
    495.94x = 744.12 × 207.58
  4. Step 4: Simplify right side
    495.94x = 154,464.43
  5. Step 5: Solve for x
    x = 154,464.43/495.94
  6. Step 6: Final answer
    x = 311.46

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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.