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Finding the Fourth Proportional to 330.45, 455.98 and 264.93

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Solution

The fourth proportional to 330.45, 455.98 and 264.93 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.45 : 455.98 = 264.93 : x
  2. Step 2: Convert to fraction form
    330.45/455.98 = 264.93/x
  3. Step 3: Cross multiply
    330.45x = 455.98 × 264.93
  4. Step 4: Simplify right side
    330.45x = 120,802.78
  5. Step 5: Solve for x
    x = 120,802.78/330.45
  6. Step 6: Final answer
    x = 365.57

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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.