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Finding the Fourth Proportional to 906.65, 1,360.21 and 386.68

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Solution

The fourth proportional to 906.65, 1,360.21 and 386.68 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.65 : 1,360.21 = 386.68 : x
  2. Step 2: Convert to fraction form
    906.65/1,360.21 = 386.68/x
  3. Step 3: Cross multiply
    906.65x = 1,360.21 × 386.68
  4. Step 4: Simplify right side
    906.65x = 525,963.09
  5. Step 5: Solve for x
    x = 525,963.09/906.65
  6. Step 6: Final answer
    x = 580.12

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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.