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Finding the Fourth Proportional to 305.12, 457.16 and 293.76

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Solution

The fourth proportional to 305.12, 457.16 and 293.76 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.12 : 457.16 = 293.76 : x
  2. Step 2: Convert to fraction form
    305.12/457.16 = 293.76/x
  3. Step 3: Cross multiply
    305.12x = 457.16 × 293.76
  4. Step 4: Simplify right side
    305.12x = 134,295.32
  5. Step 5: Solve for x
    x = 134,295.32/305.12
  6. Step 6: Final answer
    x = 440.14

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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.