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Finding the Fourth Proportional to 356.42, 491.83 and 207.01

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Solution

The fourth proportional to 356.42, 491.83 and 207.01 is: 285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 491.83 = 207.01 : x
  2. Step 2: Convert to fraction form
    356.42/491.83 = 207.01/x
  3. Step 3: Cross multiply
    356.42x = 491.83 × 207.01
  4. Step 4: Simplify right side
    356.42x = 101,813.73
  5. Step 5: Solve for x
    x = 101,813.73/356.42
  6. Step 6: Final answer
    x = 285.66

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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.