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Finding the Fourth Proportional to 533.06, 798.71 and 417.03

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Solution

The fourth proportional to 533.06, 798.71 and 417.03 is: 624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 798.71 = 417.03 : x
  2. Step 2: Convert to fraction form
    533.06/798.71 = 417.03/x
  3. Step 3: Cross multiply
    533.06x = 798.71 × 417.03
  4. Step 4: Simplify right side
    533.06x = 333,087.79
  5. Step 5: Solve for x
    x = 333,087.79/533.06
  6. Step 6: Final answer
    x = 624.85

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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.