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Finding the Fourth Proportional to 907.02, 1,360.26 and 290.70

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Solution

The fourth proportional to 907.02, 1,360.26 and 290.70 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.02 : 1,360.26 = 290.70 : x
  2. Step 2: Convert to fraction form
    907.02/1,360.26 = 290.70/x
  3. Step 3: Cross multiply
    907.02x = 1,360.26 × 290.70
  4. Step 4: Simplify right side
    907.02x = 395,427.58
  5. Step 5: Solve for x
    x = 395,427.58/907.02
  6. Step 6: Final answer
    x = 435.96

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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.