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Finding the Fourth Proportional to 264.64, 394.14 and 247.77

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Solution

The fourth proportional to 264.64, 394.14 and 247.77 is: 369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 394.14 = 247.77 : x
  2. Step 2: Convert to fraction form
    264.64/394.14 = 247.77/x
  3. Step 3: Cross multiply
    264.64x = 394.14 × 247.77
  4. Step 4: Simplify right side
    264.64x = 97,656.07
  5. Step 5: Solve for x
    x = 97,656.07/264.64
  6. Step 6: Final answer
    x = 369.01

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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.