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Finding the Fourth Proportional to 660.48, 910.69 and 535.75

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Solution

The fourth proportional to 660.48, 910.69 and 535.75 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 910.69 = 535.75 : x
  2. Step 2: Convert to fraction form
    660.48/910.69 = 535.75/x
  3. Step 3: Cross multiply
    660.48x = 910.69 × 535.75
  4. Step 4: Simplify right side
    660.48x = 487,894.94
  5. Step 5: Solve for x
    x = 487,894.94/660.48
  6. Step 6: Final answer
    x = 738.70

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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.