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Finding the Fourth Proportional to 535.52, 737.82 and 510.81

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Solution

The fourth proportional to 535.52, 737.82 and 510.81 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.52 : 737.82 = 510.81 : x
  2. Step 2: Convert to fraction form
    535.52/737.82 = 510.81/x
  3. Step 3: Cross multiply
    535.52x = 737.82 × 510.81
  4. Step 4: Simplify right side
    535.52x = 376,885.83
  5. Step 5: Solve for x
    x = 376,885.83/535.52
  6. Step 6: Final answer
    x = 703.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.