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Finding the Fourth Proportional to 457.67, 630.29 and 416.66

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Solution

The fourth proportional to 457.67, 630.29 and 416.66 is: 573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.67 : 630.29 = 416.66 : x
  2. Step 2: Convert to fraction form
    457.67/630.29 = 416.66/x
  3. Step 3: Cross multiply
    457.67x = 630.29 × 416.66
  4. Step 4: Simplify right side
    457.67x = 262,611.40
  5. Step 5: Solve for x
    x = 262,611.40/457.67
  6. Step 6: Final answer
    x = 573.81

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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.