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Finding the Fourth Proportional to 460.32, 690.27 and 286.72

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Solution

The fourth proportional to 460.32, 690.27 and 286.72 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 690.27 = 286.72 : x
  2. Step 2: Convert to fraction form
    460.32/690.27 = 286.72/x
  3. Step 3: Cross multiply
    460.32x = 690.27 × 286.72
  4. Step 4: Simplify right side
    460.32x = 197,914.21
  5. Step 5: Solve for x
    x = 197,914.21/460.32
  6. Step 6: Final answer
    x = 429.95

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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.