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Finding the Fourth Proportional to 333.16, 497.33 and 287.80

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Solution

The fourth proportional to 333.16, 497.33 and 287.80 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.16 : 497.33 = 287.80 : x
  2. Step 2: Convert to fraction form
    333.16/497.33 = 287.80/x
  3. Step 3: Cross multiply
    333.16x = 497.33 × 287.80
  4. Step 4: Simplify right side
    333.16x = 143,131.57
  5. Step 5: Solve for x
    x = 143,131.57/333.16
  6. Step 6: Final answer
    x = 429.62

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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.