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Finding the Fourth Proportional to 901.65, 1,352.01 and 414.28

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Solution

The fourth proportional to 901.65, 1,352.01 and 414.28 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.65 : 1,352.01 = 414.28 : x
  2. Step 2: Convert to fraction form
    901.65/1,352.01 = 414.28/x
  3. Step 3: Cross multiply
    901.65x = 1,352.01 × 414.28
  4. Step 4: Simplify right side
    901.65x = 560,111.62
  5. Step 5: Solve for x
    x = 560,111.62/901.65
  6. Step 6: Final answer
    x = 621.21

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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.