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Finding the Fourth Proportional to 441.90, 658.41 and 417.06

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Solution

The fourth proportional to 441.90, 658.41 and 417.06 is: 621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.90 : 658.41 = 417.06 : x
  2. Step 2: Convert to fraction form
    441.90/658.41 = 417.06/x
  3. Step 3: Cross multiply
    441.90x = 658.41 × 417.06
  4. Step 4: Simplify right side
    441.90x = 274,599.42
  5. Step 5: Solve for x
    x = 274,599.42/441.90
  6. Step 6: Final answer
    x = 621.40

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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.