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Finding the Fourth Proportional to 607.71, 910.14 and 401.77

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Solution

The fourth proportional to 607.71, 910.14 and 401.77 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.71 : 910.14 = 401.77 : x
  2. Step 2: Convert to fraction form
    607.71/910.14 = 401.77/x
  3. Step 3: Cross multiply
    607.71x = 910.14 × 401.77
  4. Step 4: Simplify right side
    607.71x = 365,666.95
  5. Step 5: Solve for x
    x = 365,666.95/607.71
  6. Step 6: Final answer
    x = 601.71

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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.