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Finding the Fourth Proportional to 477.23, 716.00 and 203.18

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Solution

The fourth proportional to 477.23, 716.00 and 203.18 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 716.00 = 203.18 : x
  2. Step 2: Convert to fraction form
    477.23/716.00 = 203.18/x
  3. Step 3: Cross multiply
    477.23x = 716.00 × 203.18
  4. Step 4: Simplify right side
    477.23x = 145,475.86
  5. Step 5: Solve for x
    x = 145,475.86/477.23
  6. Step 6: Final answer
    x = 304.83

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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.