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Finding the Fourth Proportional to 4.64, 6.96 and 2.50

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Solution

The fourth proportional to 4.64, 6.96 and 2.50 is: 3.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.64 : 6.96 = 2.50 : x
  2. Step 2: Convert to fraction form
    4.64/6.96 = 2.50/x
  3. Step 3: Cross multiply
    4.64x = 6.96 × 2.50
  4. Step 4: Simplify right side
    4.64x = 17.40
  5. Step 5: Solve for x
    x = 17.40/4.64
  6. Step 6: Final answer
    x = 3.75

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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.