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Finding the Fourth Proportional to 477.92, 662.32 and 469.28

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Solution

The fourth proportional to 477.92, 662.32 and 469.28 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 662.32 = 469.28 : x
  2. Step 2: Convert to fraction form
    477.92/662.32 = 469.28/x
  3. Step 3: Cross multiply
    477.92x = 662.32 × 469.28
  4. Step 4: Simplify right side
    477.92x = 310,813.53
  5. Step 5: Solve for x
    x = 310,813.53/477.92
  6. Step 6: Final answer
    x = 650.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.