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Finding the Fourth Proportional to 533.09, 734.99 and 358.13

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Solution

The fourth proportional to 533.09, 734.99 and 358.13 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 734.99 = 358.13 : x
  2. Step 2: Convert to fraction form
    533.09/734.99 = 358.13/x
  3. Step 3: Cross multiply
    533.09x = 734.99 × 358.13
  4. Step 4: Simplify right side
    533.09x = 263,216.50
  5. Step 5: Solve for x
    x = 263,216.50/533.09
  6. Step 6: Final answer
    x = 493.76

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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.