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Finding the Fourth Proportional to 867.16, 1,300.92 and 290.04

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Solution

The fourth proportional to 867.16, 1,300.92 and 290.04 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.16 : 1,300.92 = 290.04 : x
  2. Step 2: Convert to fraction form
    867.16/1,300.92 = 290.04/x
  3. Step 3: Cross multiply
    867.16x = 1,300.92 × 290.04
  4. Step 4: Simplify right side
    867.16x = 377,318.84
  5. Step 5: Solve for x
    x = 377,318.84/867.16
  6. Step 6: Final answer
    x = 435.12

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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.