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Finding the Fourth Proportional to 686.58, 946.94 and 450.26

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Solution

The fourth proportional to 686.58, 946.94 and 450.26 is: 621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.58 : 946.94 = 450.26 : x
  2. Step 2: Convert to fraction form
    686.58/946.94 = 450.26/x
  3. Step 3: Cross multiply
    686.58x = 946.94 × 450.26
  4. Step 4: Simplify right side
    686.58x = 426,369.20
  5. Step 5: Solve for x
    x = 426,369.20/686.58
  6. Step 6: Final answer
    x = 621.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.