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Finding the Fourth Proportional to 305.84, 457.14 and 265.16

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Solution

The fourth proportional to 305.84, 457.14 and 265.16 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 457.14 = 265.16 : x
  2. Step 2: Convert to fraction form
    305.84/457.14 = 265.16/x
  3. Step 3: Cross multiply
    305.84x = 457.14 × 265.16
  4. Step 4: Simplify right side
    305.84x = 121,212.96
  5. Step 5: Solve for x
    x = 121,212.96/305.84
  6. Step 6: Final answer
    x = 396.33

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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.