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Finding the Fourth Proportional to 476.37, 657.24 and 289.81

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Solution

The fourth proportional to 476.37, 657.24 and 289.81 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.37 : 657.24 = 289.81 : x
  2. Step 2: Convert to fraction form
    476.37/657.24 = 289.81/x
  3. Step 3: Cross multiply
    476.37x = 657.24 × 289.81
  4. Step 4: Simplify right side
    476.37x = 190,474.46
  5. Step 5: Solve for x
    x = 190,474.46/476.37
  6. Step 6: Final answer
    x = 399.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.