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Finding the Fourth Proportional to 454.15, 681.31 and 259.37

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Solution

The fourth proportional to 454.15, 681.31 and 259.37 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.15 : 681.31 = 259.37 : x
  2. Step 2: Convert to fraction form
    454.15/681.31 = 259.37/x
  3. Step 3: Cross multiply
    454.15x = 681.31 × 259.37
  4. Step 4: Simplify right side
    454.15x = 176,712.76
  5. Step 5: Solve for x
    x = 176,712.76/454.15
  6. Step 6: Final answer
    x = 389.11

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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.