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Finding the Fourth Proportional to 307.98, 423.75 and 266.40

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Solution

The fourth proportional to 307.98, 423.75 and 266.40 is: 366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 423.75 = 266.40 : x
  2. Step 2: Convert to fraction form
    307.98/423.75 = 266.40/x
  3. Step 3: Cross multiply
    307.98x = 423.75 × 266.40
  4. Step 4: Simplify right side
    307.98x = 112,887.00
  5. Step 5: Solve for x
    x = 112,887.00/307.98
  6. Step 6: Final answer
    x = 366.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.