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Finding the Fourth Proportional to 472.51, 652.31 and 355.12

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Solution

The fourth proportional to 472.51, 652.31 and 355.12 is: 490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.51 : 652.31 = 355.12 : x
  2. Step 2: Convert to fraction form
    472.51/652.31 = 355.12/x
  3. Step 3: Cross multiply
    472.51x = 652.31 × 355.12
  4. Step 4: Simplify right side
    472.51x = 231,648.33
  5. Step 5: Solve for x
    x = 231,648.33/472.51
  6. Step 6: Final answer
    x = 490.25

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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.