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Finding the Fourth Proportional to 653.40, 901.62 and 391.40

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Solution

The fourth proportional to 653.40, 901.62 and 391.40 is: 540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 901.62 = 391.40 : x
  2. Step 2: Convert to fraction form
    653.40/901.62 = 391.40/x
  3. Step 3: Cross multiply
    653.40x = 901.62 × 391.40
  4. Step 4: Simplify right side
    653.40x = 352,894.07
  5. Step 5: Solve for x
    x = 352,894.07/653.40
  6. Step 6: Final answer
    x = 540.09

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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.