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Finding the Fourth Proportional to 477.46, 660.70 and 407.41

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Solution

The fourth proportional to 477.46, 660.70 and 407.41 is: 563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 660.70 = 407.41 : x
  2. Step 2: Convert to fraction form
    477.46/660.70 = 407.41/x
  3. Step 3: Cross multiply
    477.46x = 660.70 × 407.41
  4. Step 4: Simplify right side
    477.46x = 269,175.79
  5. Step 5: Solve for x
    x = 269,175.79/477.46
  6. Step 6: Final answer
    x = 563.77

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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.