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Finding the Fourth Proportional to 290.04, 432.32 and 268.16

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Solution

The fourth proportional to 290.04, 432.32 and 268.16 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 432.32 = 268.16 : x
  2. Step 2: Convert to fraction form
    290.04/432.32 = 268.16/x
  3. Step 3: Cross multiply
    290.04x = 432.32 × 268.16
  4. Step 4: Simplify right side
    290.04x = 115,930.93
  5. Step 5: Solve for x
    x = 115,930.93/290.04
  6. Step 6: Final answer
    x = 399.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.