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Finding the Fourth Proportional to 907.20, 1,359.62 and 419.21

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Solution

The fourth proportional to 907.20, 1,359.62 and 419.21 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.20 : 1,359.62 = 419.21 : x
  2. Step 2: Convert to fraction form
    907.20/1,359.62 = 419.21/x
  3. Step 3: Cross multiply
    907.20x = 1,359.62 × 419.21
  4. Step 4: Simplify right side
    907.20x = 569,964.08
  5. Step 5: Solve for x
    x = 569,964.08/907.20
  6. Step 6: Final answer
    x = 628.27

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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.