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Finding the Fourth Proportional to 4.80, 6.64 and 4.57

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Solution

The fourth proportional to 4.80, 6.64 and 4.57 is: 6.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.80 : 6.64 = 4.57 : x
  2. Step 2: Convert to fraction form
    4.80/6.64 = 4.57/x
  3. Step 3: Cross multiply
    4.80x = 6.64 × 4.57
  4. Step 4: Simplify right side
    4.80x = 30.32
  5. Step 5: Solve for x
    x = 30.32/4.80
  6. Step 6: Final answer
    x = 6.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.