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Finding the Fourth Proportional to 476.92, 716.07 and 295.06

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Solution

The fourth proportional to 476.92, 716.07 and 295.06 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 716.07 = 295.06 : x
  2. Step 2: Convert to fraction form
    476.92/716.07 = 295.06/x
  3. Step 3: Cross multiply
    476.92x = 716.07 × 295.06
  4. Step 4: Simplify right side
    476.92x = 211,283.61
  5. Step 5: Solve for x
    x = 211,283.61/476.92
  6. Step 6: Final answer
    x = 443.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.