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Finding the Fourth Proportional to 867.17, 1,300.80 and 290.09

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Solution

The fourth proportional to 867.17, 1,300.80 and 290.09 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.17 : 1,300.80 = 290.09 : x
  2. Step 2: Convert to fraction form
    867.17/1,300.80 = 290.09/x
  3. Step 3: Cross multiply
    867.17x = 1,300.80 × 290.09
  4. Step 4: Simplify right side
    867.17x = 377,349.07
  5. Step 5: Solve for x
    x = 377,349.07/867.17
  6. Step 6: Final answer
    x = 435.15

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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.