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Finding the Fourth Proportional to 287.69, 433.49 and 237.45

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Solution

The fourth proportional to 287.69, 433.49 and 237.45 is: 357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 433.49 = 237.45 : x
  2. Step 2: Convert to fraction form
    287.69/433.49 = 237.45/x
  3. Step 3: Cross multiply
    287.69x = 433.49 × 237.45
  4. Step 4: Simplify right side
    287.69x = 102,932.79
  5. Step 5: Solve for x
    x = 102,932.79/287.69
  6. Step 6: Final answer
    x = 357.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.