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Finding the Fourth Proportional to 467.82, 702.09 and 403.02

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Solution

The fourth proportional to 467.82, 702.09 and 403.02 is: 604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 702.09 = 403.02 : x
  2. Step 2: Convert to fraction form
    467.82/702.09 = 403.02/x
  3. Step 3: Cross multiply
    467.82x = 702.09 × 403.02
  4. Step 4: Simplify right side
    467.82x = 282,956.31
  5. Step 5: Solve for x
    x = 282,956.31/467.82
  6. Step 6: Final answer
    x = 604.84

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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.