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Finding the Fourth Proportional to 305.44, 455.65 and 297.07

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Solution

The fourth proportional to 305.44, 455.65 and 297.07 is: 443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 455.65 = 297.07 : x
  2. Step 2: Convert to fraction form
    305.44/455.65 = 297.07/x
  3. Step 3: Cross multiply
    305.44x = 455.65 × 297.07
  4. Step 4: Simplify right side
    305.44x = 135,358.06
  5. Step 5: Solve for x
    x = 135,358.06/305.44
  6. Step 6: Final answer
    x = 443.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.