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Finding the Fourth Proportional to 457.36, 686.16 and 286

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Solution

The fourth proportional to 457.36, 686.16 and 286 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 686.16 = 286 : x
  2. Step 2: Convert to fraction form
    457.36/686.16 = 286/x
  3. Step 3: Cross multiply
    457.36x = 686.16 × 286
  4. Step 4: Simplify right side
    457.36x = 196,241.76
  5. Step 5: Solve for x
    x = 196,241.76/457.36
  6. Step 6: Final answer
    x = 429.08

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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.