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Finding the Fourth Proportional to 416.50, 574.93 and 278.90

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Solution

The fourth proportional to 416.50, 574.93 and 278.90 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 574.93 = 278.90 : x
  2. Step 2: Convert to fraction form
    416.50/574.93 = 278.90/x
  3. Step 3: Cross multiply
    416.50x = 574.93 × 278.90
  4. Step 4: Simplify right side
    416.50x = 160,347.98
  5. Step 5: Solve for x
    x = 160,347.98/416.50
  6. Step 6: Final answer
    x = 384.99

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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.