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Finding the Fourth Proportional to 459.51, 686.27 and 377.43

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Solution

The fourth proportional to 459.51, 686.27 and 377.43 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 686.27 = 377.43 : x
  2. Step 2: Convert to fraction form
    459.51/686.27 = 377.43/x
  3. Step 3: Cross multiply
    459.51x = 686.27 × 377.43
  4. Step 4: Simplify right side
    459.51x = 259,018.89
  5. Step 5: Solve for x
    x = 259,018.89/459.51
  6. Step 6: Final answer
    x = 563.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.