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Finding the Fourth Proportional to 395.60, 546.30 and 264.70

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Solution

The fourth proportional to 395.60, 546.30 and 264.70 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 546.30 = 264.70 : x
  2. Step 2: Convert to fraction form
    395.60/546.30 = 264.70/x
  3. Step 3: Cross multiply
    395.60x = 546.30 × 264.70
  4. Step 4: Simplify right side
    395.60x = 144,605.61
  5. Step 5: Solve for x
    x = 144,605.61/395.60
  6. Step 6: Final answer
    x = 365.53

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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.