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Finding the Fourth Proportional to 472.09, 651.48 and 265.09

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Solution

The fourth proportional to 472.09, 651.48 and 265.09 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 651.48 = 265.09 : x
  2. Step 2: Convert to fraction form
    472.09/651.48 = 265.09/x
  3. Step 3: Cross multiply
    472.09x = 651.48 × 265.09
  4. Step 4: Simplify right side
    472.09x = 172,700.83
  5. Step 5: Solve for x
    x = 172,700.83/472.09
  6. Step 6: Final answer
    x = 365.82

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