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Finding the Fourth Proportional to 653.54, 901.85 and 387.86

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Solution

The fourth proportional to 653.54, 901.85 and 387.86 is: 535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 901.85 = 387.86 : x
  2. Step 2: Convert to fraction form
    653.54/901.85 = 387.86/x
  3. Step 3: Cross multiply
    653.54x = 901.85 × 387.86
  4. Step 4: Simplify right side
    653.54x = 349,785.09
  5. Step 5: Solve for x
    x = 349,785.09/653.54
  6. Step 6: Final answer
    x = 535.22

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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.