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Finding the Fourth Proportional to 483.08, 666.63 and 296.58

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Solution

The fourth proportional to 483.08, 666.63 and 296.58 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.08 : 666.63 = 296.58 : x
  2. Step 2: Convert to fraction form
    483.08/666.63 = 296.58/x
  3. Step 3: Cross multiply
    483.08x = 666.63 × 296.58
  4. Step 4: Simplify right side
    483.08x = 197,709.13
  5. Step 5: Solve for x
    x = 197,709.13/483.08
  6. Step 6: Final answer
    x = 409.27

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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.