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Finding the Fourth Proportional to 907.45, 1,360.71 and 290.98

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Solution

The fourth proportional to 907.45, 1,360.71 and 290.98 is: 436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.45 : 1,360.71 = 290.98 : x
  2. Step 2: Convert to fraction form
    907.45/1,360.71 = 290.98/x
  3. Step 3: Cross multiply
    907.45x = 1,360.71 × 290.98
  4. Step 4: Simplify right side
    907.45x = 395,939.40
  5. Step 5: Solve for x
    x = 395,939.40/907.45
  6. Step 6: Final answer
    x = 436.32

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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.