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Finding the Fourth Proportional to 290.04, 433.16 and 232.35

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Solution

The fourth proportional to 290.04, 433.16 and 232.35 is: 347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 433.16 = 232.35 : x
  2. Step 2: Convert to fraction form
    290.04/433.16 = 232.35/x
  3. Step 3: Cross multiply
    290.04x = 433.16 × 232.35
  4. Step 4: Simplify right side
    290.04x = 100,644.73
  5. Step 5: Solve for x
    x = 100,644.73/290.04
  6. Step 6: Final answer
    x = 347.00

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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.