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Finding the Fourth Proportional to 901.53, 1,352.31 and 414.99

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Solution

The fourth proportional to 901.53, 1,352.31 and 414.99 is: 622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.53 : 1,352.31 = 414.99 : x
  2. Step 2: Convert to fraction form
    901.53/1,352.31 = 414.99/x
  3. Step 3: Cross multiply
    901.53x = 1,352.31 × 414.99
  4. Step 4: Simplify right side
    901.53x = 561,195.13
  5. Step 5: Solve for x
    x = 561,195.13/901.53
  6. Step 6: Final answer
    x = 622.49

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Double scale
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1.5x scale

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.