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Finding the Fourth Proportional to 307.60, 459.26 and 276.88

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Solution

The fourth proportional to 307.60, 459.26 and 276.88 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 459.26 = 276.88 : x
  2. Step 2: Convert to fraction form
    307.60/459.26 = 276.88/x
  3. Step 3: Cross multiply
    307.60x = 459.26 × 276.88
  4. Step 4: Simplify right side
    307.60x = 127,159.91
  5. Step 5: Solve for x
    x = 127,159.91/307.60
  6. Step 6: Final answer
    x = 413.39

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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.