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Finding the Fourth Proportional to 907.28, 1,359.64 and 386.57

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Solution

The fourth proportional to 907.28, 1,359.64 and 386.57 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.28 : 1,359.64 = 386.57 : x
  2. Step 2: Convert to fraction form
    907.28/1,359.64 = 386.57/x
  3. Step 3: Cross multiply
    907.28x = 1,359.64 × 386.57
  4. Step 4: Simplify right side
    907.28x = 525,596.03
  5. Step 5: Solve for x
    x = 525,596.03/907.28
  6. Step 6: Final answer
    x = 579.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.