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Finding the Fourth Proportional to 533.04, 735.12 and 358.32

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Solution

The fourth proportional to 533.04, 735.12 and 358.32 is: 494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.04 : 735.12 = 358.32 : x
  2. Step 2: Convert to fraction form
    533.04/735.12 = 358.32/x
  3. Step 3: Cross multiply
    533.04x = 735.12 × 358.32
  4. Step 4: Simplify right side
    533.04x = 263,408.20
  5. Step 5: Solve for x
    x = 263,408.20/533.04
  6. Step 6: Final answer
    x = 494.16

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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.