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Finding the Fourth Proportional to 477.58, 716.83 and 295.33

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Solution

The fourth proportional to 477.58, 716.83 and 295.33 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 716.83 = 295.33 : x
  2. Step 2: Convert to fraction form
    477.58/716.83 = 295.33/x
  3. Step 3: Cross multiply
    477.58x = 716.83 × 295.33
  4. Step 4: Simplify right side
    477.58x = 211,701.40
  5. Step 5: Solve for x
    x = 211,701.40/477.58
  6. Step 6: Final answer
    x = 443.28

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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.