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Finding the Fourth Proportional to 472.06, 651.28 and 285.60

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Solution

The fourth proportional to 472.06, 651.28 and 285.60 is: 394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 651.28 = 285.60 : x
  2. Step 2: Convert to fraction form
    472.06/651.28 = 285.60/x
  3. Step 3: Cross multiply
    472.06x = 651.28 × 285.60
  4. Step 4: Simplify right side
    472.06x = 186,005.57
  5. Step 5: Solve for x
    x = 186,005.57/472.06
  6. Step 6: Final answer
    x = 394.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.