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Finding the Fourth Proportional to 907.40, 1,358.20 and 490.36

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Solution

The fourth proportional to 907.40, 1,358.20 and 490.36 is: 733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,358.20 = 490.36 : x
  2. Step 2: Convert to fraction form
    907.40/1,358.20 = 490.36/x
  3. Step 3: Cross multiply
    907.40x = 1,358.20 × 490.36
  4. Step 4: Simplify right side
    907.40x = 666,006.95
  5. Step 5: Solve for x
    x = 666,006.95/907.40
  6. Step 6: Final answer
    x = 733.97

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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.