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Finding the Fourth Proportional to 607.90, 912.27 and 377.14

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Solution

The fourth proportional to 607.90, 912.27 and 377.14 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.90 : 912.27 = 377.14 : x
  2. Step 2: Convert to fraction form
    607.90/912.27 = 377.14/x
  3. Step 3: Cross multiply
    607.90x = 912.27 × 377.14
  4. Step 4: Simplify right side
    607.90x = 344,053.51
  5. Step 5: Solve for x
    x = 344,053.51/607.90
  6. Step 6: Final answer
    x = 565.97

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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.