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Finding the Fourth Proportional to 431.51, 647.38 and 248.58

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Solution

The fourth proportional to 431.51, 647.38 and 248.58 is: 372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.51 : 647.38 = 248.58 : x
  2. Step 2: Convert to fraction form
    431.51/647.38 = 248.58/x
  3. Step 3: Cross multiply
    431.51x = 647.38 × 248.58
  4. Step 4: Simplify right side
    431.51x = 160,922.48
  5. Step 5: Solve for x
    x = 160,922.48/431.51
  6. Step 6: Final answer
    x = 372.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.