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Finding the Fourth Proportional to 582.98, 874.06 and 274.66

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Solution

The fourth proportional to 582.98, 874.06 and 274.66 is: 411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 874.06 = 274.66 : x
  2. Step 2: Convert to fraction form
    582.98/874.06 = 274.66/x
  3. Step 3: Cross multiply
    582.98x = 874.06 × 274.66
  4. Step 4: Simplify right side
    582.98x = 240,069.32
  5. Step 5: Solve for x
    x = 240,069.32/582.98
  6. Step 6: Final answer
    x = 411.80

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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.