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Finding the Fourth Proportional to 483.10, 666.48 and 296.68

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Solution

The fourth proportional to 483.10, 666.48 and 296.68 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.10 : 666.48 = 296.68 : x
  2. Step 2: Convert to fraction form
    483.10/666.48 = 296.68/x
  3. Step 3: Cross multiply
    483.10x = 666.48 × 296.68
  4. Step 4: Simplify right side
    483.10x = 197,731.29
  5. Step 5: Solve for x
    x = 197,731.29/483.10
  6. Step 6: Final answer
    x = 409.30

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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.