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Finding the Fourth Proportional to 314.25, 472.45 and 288.64

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Solution

The fourth proportional to 314.25, 472.45 and 288.64 is: 433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 472.45 = 288.64 : x
  2. Step 2: Convert to fraction form
    314.25/472.45 = 288.64/x
  3. Step 3: Cross multiply
    314.25x = 472.45 × 288.64
  4. Step 4: Simplify right side
    314.25x = 136,367.97
  5. Step 5: Solve for x
    x = 136,367.97/314.25
  6. Step 6: Final answer
    x = 433.95

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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.