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Finding the Fourth Proportional to 712.76, 1,069.47 and 302

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Solution

The fourth proportional to 712.76, 1,069.47 and 302 is: 453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 1,069.47 = 302 : x
  2. Step 2: Convert to fraction form
    712.76/1,069.47 = 302/x
  3. Step 3: Cross multiply
    712.76x = 1,069.47 × 302
  4. Step 4: Simplify right side
    712.76x = 322,979.94
  5. Step 5: Solve for x
    x = 322,979.94/712.76
  6. Step 6: Final answer
    x = 453.14

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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.