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Finding the Fourth Proportional to 533, 733.98 and 510.52

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Solution

The fourth proportional to 533, 733.98 and 510.52 is: 703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 733.98 = 510.52 : x
  2. Step 2: Convert to fraction form
    533/733.98 = 510.52/x
  3. Step 3: Cross multiply
    533x = 733.98 × 510.52
  4. Step 4: Simplify right side
    533x = 374,711.47
  5. Step 5: Solve for x
    x = 374,711.47/533
  6. Step 6: Final answer
    x = 703.02

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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.