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Finding the Fourth Proportional to 907.17, 1,360.83 and 282.39

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Solution

The fourth proportional to 907.17, 1,360.83 and 282.39 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.17 : 1,360.83 = 282.39 : x
  2. Step 2: Convert to fraction form
    907.17/1,360.83 = 282.39/x
  3. Step 3: Cross multiply
    907.17x = 1,360.83 × 282.39
  4. Step 4: Simplify right side
    907.17x = 384,284.25
  5. Step 5: Solve for x
    x = 384,284.25/907.17
  6. Step 6: Final answer
    x = 423.61

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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.