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Finding the Fourth Proportional to 263.70, 364.50 and 260.46

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Solution

The fourth proportional to 263.70, 364.50 and 260.46 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 364.50 = 260.46 : x
  2. Step 2: Convert to fraction form
    263.70/364.50 = 260.46/x
  3. Step 3: Cross multiply
    263.70x = 364.50 × 260.46
  4. Step 4: Simplify right side
    263.70x = 94,937.67
  5. Step 5: Solve for x
    x = 94,937.67/263.70
  6. Step 6: Final answer
    x = 360.02

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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.