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Finding the Fourth Proportional to 4.65, 7.01 and 4.57

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Solution

The fourth proportional to 4.65, 7.01 and 4.57 is: 6.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 7.01 = 4.57 : x
  2. Step 2: Convert to fraction form
    4.65/7.01 = 4.57/x
  3. Step 3: Cross multiply
    4.65x = 7.01 × 4.57
  4. Step 4: Simplify right side
    4.65x = 32.04
  5. Step 5: Solve for x
    x = 32.04/4.65
  6. Step 6: Final answer
    x = 6.89

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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.