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Finding the Fourth Proportional to 582.61, 874.46 and 274.68

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Solution

The fourth proportional to 582.61, 874.46 and 274.68 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.61 : 874.46 = 274.68 : x
  2. Step 2: Convert to fraction form
    582.61/874.46 = 274.68/x
  3. Step 3: Cross multiply
    582.61x = 874.46 × 274.68
  4. Step 4: Simplify right side
    582.61x = 240,196.67
  5. Step 5: Solve for x
    x = 240,196.67/582.61
  6. Step 6: Final answer
    x = 412.28

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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.