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Finding the Fourth Proportional to 459.12, 685.50 and 454.50

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Solution

The fourth proportional to 459.12, 685.50 and 454.50 is: 678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 685.50 = 454.50 : x
  2. Step 2: Convert to fraction form
    459.12/685.50 = 454.50/x
  3. Step 3: Cross multiply
    459.12x = 685.50 × 454.50
  4. Step 4: Simplify right side
    459.12x = 311,559.75
  5. Step 5: Solve for x
    x = 311,559.75/459.12
  6. Step 6: Final answer
    x = 678.60

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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.