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Finding the Fourth Proportional to 477.90, 716.96 and 203.85

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Solution

The fourth proportional to 477.90, 716.96 and 203.85 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 716.96 = 203.85 : x
  2. Step 2: Convert to fraction form
    477.90/716.96 = 203.85/x
  3. Step 3: Cross multiply
    477.90x = 716.96 × 203.85
  4. Step 4: Simplify right side
    477.90x = 146,152.81
  5. Step 5: Solve for x
    x = 146,152.81/477.90
  6. Step 6: Final answer
    x = 305.82

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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.