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Finding the Fourth Proportional to 477.61, 716.43 and 203.42

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Solution

The fourth proportional to 477.61, 716.43 and 203.42 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 716.43 = 203.42 : x
  2. Step 2: Convert to fraction form
    477.61/716.43 = 203.42/x
  3. Step 3: Cross multiply
    477.61x = 716.43 × 203.42
  4. Step 4: Simplify right side
    477.61x = 145,738.74
  5. Step 5: Solve for x
    x = 145,738.74/477.61
  6. Step 6: Final answer
    x = 305.14

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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.