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Finding the Fourth Proportional to 476.19, 654.62 and 409.55

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Solution

The fourth proportional to 476.19, 654.62 and 409.55 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 654.62 = 409.55 : x
  2. Step 2: Convert to fraction form
    476.19/654.62 = 409.55/x
  3. Step 3: Cross multiply
    476.19x = 654.62 × 409.55
  4. Step 4: Simplify right side
    476.19x = 268,097.57
  5. Step 5: Solve for x
    x = 268,097.57/476.19
  6. Step 6: Final answer
    x = 563.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.