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Finding the Fourth Proportional to 477.40, 716.20 and 233.86

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Solution

The fourth proportional to 477.40, 716.20 and 233.86 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 716.20 = 233.86 : x
  2. Step 2: Convert to fraction form
    477.40/716.20 = 233.86/x
  3. Step 3: Cross multiply
    477.40x = 716.20 × 233.86
  4. Step 4: Simplify right side
    477.40x = 167,490.53
  5. Step 5: Solve for x
    x = 167,490.53/477.40
  6. Step 6: Final answer
    x = 350.84

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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.