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Finding the Fourth Proportional to 653.22, 901.09 and 401.01

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Solution

The fourth proportional to 653.22, 901.09 and 401.01 is: 553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 901.09 = 401.01 : x
  2. Step 2: Convert to fraction form
    653.22/901.09 = 401.01/x
  3. Step 3: Cross multiply
    653.22x = 901.09 × 401.01
  4. Step 4: Simplify right side
    653.22x = 361,346.10
  5. Step 5: Solve for x
    x = 361,346.10/653.22
  6. Step 6: Final answer
    x = 553.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.