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Finding the Fourth Proportional to 305.76, 458.64 and 286.32

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Solution

The fourth proportional to 305.76, 458.64 and 286.32 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 458.64 = 286.32 : x
  2. Step 2: Convert to fraction form
    305.76/458.64 = 286.32/x
  3. Step 3: Cross multiply
    305.76x = 458.64 × 286.32
  4. Step 4: Simplify right side
    305.76x = 131,317.80
  5. Step 5: Solve for x
    x = 131,317.80/305.76
  6. Step 6: Final answer
    x = 429.48

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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.