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Finding the Fourth Proportional to 907.23, 1,360.92 and 290.94

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Solution

The fourth proportional to 907.23, 1,360.92 and 290.94 is: 436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.23 : 1,360.92 = 290.94 : x
  2. Step 2: Convert to fraction form
    907.23/1,360.92 = 290.94/x
  3. Step 3: Cross multiply
    907.23x = 1,360.92 × 290.94
  4. Step 4: Simplify right side
    907.23x = 395,946.06
  5. Step 5: Solve for x
    x = 395,946.06/907.23
  6. Step 6: Final answer
    x = 436.43

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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.