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Finding the Fourth Proportional to 867.72, 1,301.64 and 290.58

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Solution

The fourth proportional to 867.72, 1,301.64 and 290.58 is: 435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.72 : 1,301.64 = 290.58 : x
  2. Step 2: Convert to fraction form
    867.72/1,301.64 = 290.58/x
  3. Step 3: Cross multiply
    867.72x = 1,301.64 × 290.58
  4. Step 4: Simplify right side
    867.72x = 378,230.55
  5. Step 5: Solve for x
    x = 378,230.55/867.72
  6. Step 6: Final answer
    x = 435.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.