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Finding the Fourth Proportional to 468.48, 702.76 and 263.04

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Solution

The fourth proportional to 468.48, 702.76 and 263.04 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 702.76 = 263.04 : x
  2. Step 2: Convert to fraction form
    468.48/702.76 = 263.04/x
  3. Step 3: Cross multiply
    468.48x = 702.76 × 263.04
  4. Step 4: Simplify right side
    468.48x = 184,853.99
  5. Step 5: Solve for x
    x = 184,853.99/468.48
  6. Step 6: Final answer
    x = 394.58

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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.