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Finding the Fourth Proportional to 472.24, 651.72 and 304.12

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Solution

The fourth proportional to 472.24, 651.72 and 304.12 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 651.72 = 304.12 : x
  2. Step 2: Convert to fraction form
    472.24/651.72 = 304.12/x
  3. Step 3: Cross multiply
    472.24x = 651.72 × 304.12
  4. Step 4: Simplify right side
    472.24x = 198,201.09
  5. Step 5: Solve for x
    x = 198,201.09/472.24
  6. Step 6: Final answer
    x = 419.70

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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.