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Finding the Fourth Proportional to 907.38, 1,360.71 and 359.64

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Solution

The fourth proportional to 907.38, 1,360.71 and 359.64 is: 539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.38 : 1,360.71 = 359.64 : x
  2. Step 2: Convert to fraction form
    907.38/1,360.71 = 359.64/x
  3. Step 3: Cross multiply
    907.38x = 1,360.71 × 359.64
  4. Step 4: Simplify right side
    907.38x = 489,365.74
  5. Step 5: Solve for x
    x = 489,365.74/907.38
  6. Step 6: Final answer
    x = 539.32

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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.