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Finding the Fourth Proportional to 305.34, 457.62 and 266.16

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Solution

The fourth proportional to 305.34, 457.62 and 266.16 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 457.62 = 266.16 : x
  2. Step 2: Convert to fraction form
    305.34/457.62 = 266.16/x
  3. Step 3: Cross multiply
    305.34x = 457.62 × 266.16
  4. Step 4: Simplify right side
    305.34x = 121,800.14
  5. Step 5: Solve for x
    x = 121,800.14/305.34
  6. Step 6: Final answer
    x = 398.90

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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.