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Finding the Fourth Proportional to 483.29, 666.93 and 296.98

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Solution

The fourth proportional to 483.29, 666.93 and 296.98 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.29 : 666.93 = 296.98 : x
  2. Step 2: Convert to fraction form
    483.29/666.93 = 296.98/x
  3. Step 3: Cross multiply
    483.29x = 666.93 × 296.98
  4. Step 4: Simplify right side
    483.29x = 198,064.87
  5. Step 5: Solve for x
    x = 198,064.87/483.29
  6. Step 6: Final answer
    x = 409.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.