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Finding the Fourth Proportional to 491.45, 739.85 and 424.49

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Solution

The fourth proportional to 491.45, 739.85 and 424.49 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.45 : 739.85 = 424.49 : x
  2. Step 2: Convert to fraction form
    491.45/739.85 = 424.49/x
  3. Step 3: Cross multiply
    491.45x = 739.85 × 424.49
  4. Step 4: Simplify right side
    491.45x = 314,058.93
  5. Step 5: Solve for x
    x = 314,058.93/491.45
  6. Step 6: Final answer
    x = 639.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.