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Finding the Fourth Proportional to 477.70, 716.74 and 203.87

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Solution

The fourth proportional to 477.70, 716.74 and 203.87 is: 305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 716.74 = 203.87 : x
  2. Step 2: Convert to fraction form
    477.70/716.74 = 203.87/x
  3. Step 3: Cross multiply
    477.70x = 716.74 × 203.87
  4. Step 4: Simplify right side
    477.70x = 146,123.07
  5. Step 5: Solve for x
    x = 146,123.07/477.70
  6. Step 6: Final answer
    x = 305.89

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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.