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Finding the Fourth Proportional to 459.77, 685.71 and 418.46

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Solution

The fourth proportional to 459.77, 685.71 and 418.46 is: 624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.77 : 685.71 = 418.46 : x
  2. Step 2: Convert to fraction form
    459.77/685.71 = 418.46/x
  3. Step 3: Cross multiply
    459.77x = 685.71 × 418.46
  4. Step 4: Simplify right side
    459.77x = 286,938.78
  5. Step 5: Solve for x
    x = 286,938.78/459.77
  6. Step 6: Final answer
    x = 624.10

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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.