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Finding the Fourth Proportional to 868, 1,302.14 and 291.01

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Solution

The fourth proportional to 868, 1,302.14 and 291.01 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868 : 1,302.14 = 291.01 : x
  2. Step 2: Convert to fraction form
    868/1,302.14 = 291.01/x
  3. Step 3: Cross multiply
    868x = 1,302.14 × 291.01
  4. Step 4: Simplify right side
    868x = 378,935.76
  5. Step 5: Solve for x
    x = 378,935.76/868
  6. Step 6: Final answer
    x = 436.56

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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.