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Finding the Fourth Proportional to 533.07, 734.94 and 414.81

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Solution

The fourth proportional to 533.07, 734.94 and 414.81 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 734.94 = 414.81 : x
  2. Step 2: Convert to fraction form
    533.07/734.94 = 414.81/x
  3. Step 3: Cross multiply
    533.07x = 734.94 × 414.81
  4. Step 4: Simplify right side
    533.07x = 304,860.46
  5. Step 5: Solve for x
    x = 304,860.46/533.07
  6. Step 6: Final answer
    x = 571.90

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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.