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Finding the Fourth Proportional to 5.00, 7.46 and 4.49

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Solution

The fourth proportional to 5.00, 7.46 and 4.49 is: 6.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.00 : 7.46 = 4.49 : x
  2. Step 2: Convert to fraction form
    5.00/7.46 = 4.49/x
  3. Step 3: Cross multiply
    5.00x = 7.46 × 4.49
  4. Step 4: Simplify right side
    5.00x = 33.48
  5. Step 5: Solve for x
    x = 33.48/5.00
  6. Step 6: Final answer
    x = 6.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.