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Finding the Fourth Proportional to 535.02, 737.70 and 435.54

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Solution

The fourth proportional to 535.02, 737.70 and 435.54 is: 600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.02 : 737.70 = 435.54 : x
  2. Step 2: Convert to fraction form
    535.02/737.70 = 435.54/x
  3. Step 3: Cross multiply
    535.02x = 737.70 × 435.54
  4. Step 4: Simplify right side
    535.02x = 321,297.86
  5. Step 5: Solve for x
    x = 321,297.86/535.02
  6. Step 6: Final answer
    x = 600.53

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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.