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Finding the Fourth Proportional to 442.95, 665.45 and 278.93

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Solution

The fourth proportional to 442.95, 665.45 and 278.93 is: 419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.95 : 665.45 = 278.93 : x
  2. Step 2: Convert to fraction form
    442.95/665.45 = 278.93/x
  3. Step 3: Cross multiply
    442.95x = 665.45 × 278.93
  4. Step 4: Simplify right side
    442.95x = 185,613.97
  5. Step 5: Solve for x
    x = 185,613.97/442.95
  6. Step 6: Final answer
    x = 419.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.