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Finding the Fourth Proportional to 459.55, 685.58 and 378.15

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Solution

The fourth proportional to 459.55, 685.58 and 378.15 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.55 : 685.58 = 378.15 : x
  2. Step 2: Convert to fraction form
    459.55/685.58 = 378.15/x
  3. Step 3: Cross multiply
    459.55x = 685.58 × 378.15
  4. Step 4: Simplify right side
    459.55x = 259,252.08
  5. Step 5: Solve for x
    x = 259,252.08/459.55
  6. Step 6: Final answer
    x = 564.14

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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.