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Finding the Fourth Proportional to 653.21, 901.46 and 391.36

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Solution

The fourth proportional to 653.21, 901.46 and 391.36 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.21 : 901.46 = 391.36 : x
  2. Step 2: Convert to fraction form
    653.21/901.46 = 391.36/x
  3. Step 3: Cross multiply
    653.21x = 901.46 × 391.36
  4. Step 4: Simplify right side
    653.21x = 352,788.92
  5. Step 5: Solve for x
    x = 352,788.92/653.21
  6. Step 6: Final answer
    x = 540.08

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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.