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Finding the Fourth Proportional to 469.29, 702.57 and 262.90

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Solution

The fourth proportional to 469.29, 702.57 and 262.90 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.29 : 702.57 = 262.90 : x
  2. Step 2: Convert to fraction form
    469.29/702.57 = 262.90/x
  3. Step 3: Cross multiply
    469.29x = 702.57 × 262.90
  4. Step 4: Simplify right side
    469.29x = 184,703.57
  5. Step 5: Solve for x
    x = 184,703.57/469.29
  6. Step 6: Final answer
    x = 393.58

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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.