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Finding the Fourth Proportional to 533.08, 734.48 and 358.12

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Solution

The fourth proportional to 533.08, 734.48 and 358.12 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 734.48 = 358.12 : x
  2. Step 2: Convert to fraction form
    533.08/734.48 = 358.12/x
  3. Step 3: Cross multiply
    533.08x = 734.48 × 358.12
  4. Step 4: Simplify right side
    533.08x = 263,031.98
  5. Step 5: Solve for x
    x = 263,031.98/533.08
  6. Step 6: Final answer
    x = 493.42

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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.