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Finding the Fourth Proportional to 482.97, 666.84 and 296.71

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Solution

The fourth proportional to 482.97, 666.84 and 296.71 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.97 : 666.84 = 296.71 : x
  2. Step 2: Convert to fraction form
    482.97/666.84 = 296.71/x
  3. Step 3: Cross multiply
    482.97x = 666.84 × 296.71
  4. Step 4: Simplify right side
    482.97x = 197,854.76
  5. Step 5: Solve for x
    x = 197,854.76/482.97
  6. Step 6: Final answer
    x = 409.67

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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.