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Finding the Fourth Proportional to 305.84, 455.46 and 304.08

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Solution

The fourth proportional to 305.84, 455.46 and 304.08 is: 452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 455.46 = 304.08 : x
  2. Step 2: Convert to fraction form
    305.84/455.46 = 304.08/x
  3. Step 3: Cross multiply
    305.84x = 455.46 × 304.08
  4. Step 4: Simplify right side
    305.84x = 138,497.42
  5. Step 5: Solve for x
    x = 138,497.42/305.84
  6. Step 6: Final answer
    x = 452.85

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Why These Related Problems?

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