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Finding the Fourth Proportional to 419.73, 632.96 and 417.00

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Solution

The fourth proportional to 419.73, 632.96 and 417.00 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 632.96 = 417.00 : x
  2. Step 2: Convert to fraction form
    419.73/632.96 = 417.00/x
  3. Step 3: Cross multiply
    419.73x = 632.96 × 417.00
  4. Step 4: Simplify right side
    419.73x = 263,944.96
  5. Step 5: Solve for x
    x = 263,944.96/419.73
  6. Step 6: Final answer
    x = 628.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.