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Finding the Fourth Proportional to 907.16, 1,359.90 and 329.63

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Solution

The fourth proportional to 907.16, 1,359.90 and 329.63 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.16 : 1,359.90 = 329.63 : x
  2. Step 2: Convert to fraction form
    907.16/1,359.90 = 329.63/x
  3. Step 3: Cross multiply
    907.16x = 1,359.90 × 329.63
  4. Step 4: Simplify right side
    907.16x = 448,257.04
  5. Step 5: Solve for x
    x = 448,257.04/907.16
  6. Step 6: Final answer
    x = 494.14

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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.