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Finding the Fourth Proportional to 533.76, 798.53 and 404.13

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Solution

The fourth proportional to 533.76, 798.53 and 404.13 is: 604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 798.53 = 404.13 : x
  2. Step 2: Convert to fraction form
    533.76/798.53 = 404.13/x
  3. Step 3: Cross multiply
    533.76x = 798.53 × 404.13
  4. Step 4: Simplify right side
    533.76x = 322,712.04
  5. Step 5: Solve for x
    x = 322,712.04/533.76
  6. Step 6: Final answer
    x = 604.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.