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Finding the Fourth Proportional to 907.91, 1,362.09 and 258.64

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Solution

The fourth proportional to 907.91, 1,362.09 and 258.64 is: 388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.91 : 1,362.09 = 258.64 : x
  2. Step 2: Convert to fraction form
    907.91/1,362.09 = 258.64/x
  3. Step 3: Cross multiply
    907.91x = 1,362.09 × 258.64
  4. Step 4: Simplify right side
    907.91x = 352,296.18
  5. Step 5: Solve for x
    x = 352,296.18/907.91
  6. Step 6: Final answer
    x = 388.03

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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.