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Finding the Fourth Proportional to 907.36, 1,361.45 and 420.28

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Solution

The fourth proportional to 907.36, 1,361.45 and 420.28 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.36 : 1,361.45 = 420.28 : x
  2. Step 2: Convert to fraction form
    907.36/1,361.45 = 420.28/x
  3. Step 3: Cross multiply
    907.36x = 1,361.45 × 420.28
  4. Step 4: Simplify right side
    907.36x = 572,190.21
  5. Step 5: Solve for x
    x = 572,190.21/907.36
  6. Step 6: Final answer
    x = 630.61

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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.