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Finding the Fourth Proportional to 458.64, 684.05 and 417.33

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Solution

The fourth proportional to 458.64, 684.05 and 417.33 is: 622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 684.05 = 417.33 : x
  2. Step 2: Convert to fraction form
    458.64/684.05 = 417.33/x
  3. Step 3: Cross multiply
    458.64x = 684.05 × 417.33
  4. Step 4: Simplify right side
    458.64x = 285,472.50
  5. Step 5: Solve for x
    x = 285,472.50/458.64
  6. Step 6: Final answer
    x = 622.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.