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Finding the Fourth Proportional to 4.67, 7.05 and 4.35

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Solution

The fourth proportional to 4.67, 7.05 and 4.35 is: 6.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.67 : 7.05 = 4.35 : x
  2. Step 2: Convert to fraction form
    4.67/7.05 = 4.35/x
  3. Step 3: Cross multiply
    4.67x = 7.05 × 4.35
  4. Step 4: Simplify right side
    4.67x = 30.71
  5. Step 5: Solve for x
    x = 30.71/4.67
  6. Step 6: Final answer
    x = 6.57

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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.