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Finding the Fourth Proportional to 416.64, 574.70 and 409.35

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Solution

The fourth proportional to 416.64, 574.70 and 409.35 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 574.70 = 409.35 : x
  2. Step 2: Convert to fraction form
    416.64/574.70 = 409.35/x
  3. Step 3: Cross multiply
    416.64x = 574.70 × 409.35
  4. Step 4: Simplify right side
    416.64x = 235,253.55
  5. Step 5: Solve for x
    x = 235,253.55/416.64
  6. Step 6: Final answer
    x = 564.64

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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.