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Finding the Fourth Proportional to 535.24, 737.70 and 452.56

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Solution

The fourth proportional to 535.24, 737.70 and 452.56 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.24 : 737.70 = 452.56 : x
  2. Step 2: Convert to fraction form
    535.24/737.70 = 452.56/x
  3. Step 3: Cross multiply
    535.24x = 737.70 × 452.56
  4. Step 4: Simplify right side
    535.24x = 333,853.51
  5. Step 5: Solve for x
    x = 333,853.51/535.24
  6. Step 6: Final answer
    x = 623.75

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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.