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Finding the Fourth Proportional to 264.47, 364.60 and 257.48

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Solution

The fourth proportional to 264.47, 364.60 and 257.48 is: 354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 364.60 = 257.48 : x
  2. Step 2: Convert to fraction form
    264.47/364.60 = 257.48/x
  3. Step 3: Cross multiply
    264.47x = 364.60 × 257.48
  4. Step 4: Simplify right side
    264.47x = 93,877.07
  5. Step 5: Solve for x
    x = 93,877.07/264.47
  6. Step 6: Final answer
    x = 354.97

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Why These Related Problems?

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