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Finding the Fourth Proportional to 473.66, 654.41 and 404.45

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Solution

The fourth proportional to 473.66, 654.41 and 404.45 is: 558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 654.41 = 404.45 : x
  2. Step 2: Convert to fraction form
    473.66/654.41 = 404.45/x
  3. Step 3: Cross multiply
    473.66x = 654.41 × 404.45
  4. Step 4: Simplify right side
    473.66x = 264,670.83
  5. Step 5: Solve for x
    x = 264,670.83/473.66
  6. Step 6: Final answer
    x = 558.78

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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.