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Finding the Fourth Proportional to 907.31, 1,360.74 and 419.90

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Solution

The fourth proportional to 907.31, 1,360.74 and 419.90 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 1,360.74 = 419.90 : x
  2. Step 2: Convert to fraction form
    907.31/1,360.74 = 419.90/x
  3. Step 3: Cross multiply
    907.31x = 1,360.74 × 419.90
  4. Step 4: Simplify right side
    907.31x = 571,374.73
  5. Step 5: Solve for x
    x = 571,374.73/907.31
  6. Step 6: Final answer
    x = 629.75

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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.