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Finding the Fourth Proportional to 302.60, 419.50 and 286.18

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Solution

The fourth proportional to 302.60, 419.50 and 286.18 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 419.50 = 286.18 : x
  2. Step 2: Convert to fraction form
    302.60/419.50 = 286.18/x
  3. Step 3: Cross multiply
    302.60x = 419.50 × 286.18
  4. Step 4: Simplify right side
    302.60x = 120,052.51
  5. Step 5: Solve for x
    x = 120,052.51/302.60
  6. Step 6: Final answer
    x = 396.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.