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Finding the Fourth Proportional to 435.29, 652.71 and 146.63

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Solution

The fourth proportional to 435.29, 652.71 and 146.63 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.29 : 652.71 = 146.63 : x
  2. Step 2: Convert to fraction form
    435.29/652.71 = 146.63/x
  3. Step 3: Cross multiply
    435.29x = 652.71 × 146.63
  4. Step 4: Simplify right side
    435.29x = 95,706.87
  5. Step 5: Solve for x
    x = 95,706.87/435.29
  6. Step 6: Final answer
    x = 219.87

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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.