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Finding the Fourth Proportional to 867.90, 1,301.33 and 405.78

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Solution

The fourth proportional to 867.90, 1,301.33 and 405.78 is: 608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.90 : 1,301.33 = 405.78 : x
  2. Step 2: Convert to fraction form
    867.90/1,301.33 = 405.78/x
  3. Step 3: Cross multiply
    867.90x = 1,301.33 × 405.78
  4. Step 4: Simplify right side
    867.90x = 528,051.66
  5. Step 5: Solve for x
    x = 528,051.66/867.90
  6. Step 6: Final answer
    x = 608.42

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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.