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Finding the Fourth Proportional to 305.40, 458.64 and 284.97

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Solution

The fourth proportional to 305.40, 458.64 and 284.97 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 458.64 = 284.97 : x
  2. Step 2: Convert to fraction form
    305.40/458.64 = 284.97/x
  3. Step 3: Cross multiply
    305.40x = 458.64 × 284.97
  4. Step 4: Simplify right side
    305.40x = 130,698.64
  5. Step 5: Solve for x
    x = 130,698.64/305.40
  6. Step 6: Final answer
    x = 427.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.