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Finding the Fourth Proportional to 476.96, 716.05 and 260.69

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Solution

The fourth proportional to 476.96, 716.05 and 260.69 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 716.05 = 260.69 : x
  2. Step 2: Convert to fraction form
    476.96/716.05 = 260.69/x
  3. Step 3: Cross multiply
    476.96x = 716.05 × 260.69
  4. Step 4: Simplify right side
    476.96x = 186,667.07
  5. Step 5: Solve for x
    x = 186,667.07/476.96
  6. Step 6: Final answer
    x = 391.37

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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.