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Finding the Fourth Proportional to 468.23, 702.36 and 446.36

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Solution

The fourth proportional to 468.23, 702.36 and 446.36 is: 669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.23 : 702.36 = 446.36 : x
  2. Step 2: Convert to fraction form
    468.23/702.36 = 446.36/x
  3. Step 3: Cross multiply
    468.23x = 702.36 × 446.36
  4. Step 4: Simplify right side
    468.23x = 313,501.90
  5. Step 5: Solve for x
    x = 313,501.90/468.23
  6. Step 6: Final answer
    x = 669.55

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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.