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Finding the Fourth Proportional to 533.48, 735.35 and 358.52

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Solution

The fourth proportional to 533.48, 735.35 and 358.52 is: 494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.48 : 735.35 = 358.52 : x
  2. Step 2: Convert to fraction form
    533.48/735.35 = 358.52/x
  3. Step 3: Cross multiply
    533.48x = 735.35 × 358.52
  4. Step 4: Simplify right side
    533.48x = 263,632.21
  5. Step 5: Solve for x
    x = 263,632.21/533.48
  6. Step 6: Final answer
    x = 494.18

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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.