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Finding the Fourth Proportional to 477.26, 716.34 and 295.02

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Solution

The fourth proportional to 477.26, 716.34 and 295.02 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.26 : 716.34 = 295.02 : x
  2. Step 2: Convert to fraction form
    477.26/716.34 = 295.02/x
  3. Step 3: Cross multiply
    477.26x = 716.34 × 295.02
  4. Step 4: Simplify right side
    477.26x = 211,334.63
  5. Step 5: Solve for x
    x = 211,334.63/477.26
  6. Step 6: Final answer
    x = 442.81

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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.