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Finding the Fourth Proportional to 640.64, 883.58 and 416.34

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Solution

The fourth proportional to 640.64, 883.58 and 416.34 is: 574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.64 : 883.58 = 416.34 : x
  2. Step 2: Convert to fraction form
    640.64/883.58 = 416.34/x
  3. Step 3: Cross multiply
    640.64x = 883.58 × 416.34
  4. Step 4: Simplify right side
    640.64x = 367,869.70
  5. Step 5: Solve for x
    x = 367,869.70/640.64
  6. Step 6: Final answer
    x = 574.22

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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.