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Finding the Fourth Proportional to 454.69, 626.77 and 417.03

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Solution

The fourth proportional to 454.69, 626.77 and 417.03 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 626.77 = 417.03 : x
  2. Step 2: Convert to fraction form
    454.69/626.77 = 417.03/x
  3. Step 3: Cross multiply
    454.69x = 626.77 × 417.03
  4. Step 4: Simplify right side
    454.69x = 261,381.89
  5. Step 5: Solve for x
    x = 261,381.89/454.69
  6. Step 6: Final answer
    x = 574.86

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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.