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Finding the Fourth Proportional to 582.79, 874.47 and 274.63

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Solution

The fourth proportional to 582.79, 874.47 and 274.63 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 874.47 = 274.63 : x
  2. Step 2: Convert to fraction form
    582.79/874.47 = 274.63/x
  3. Step 3: Cross multiply
    582.79x = 874.47 × 274.63
  4. Step 4: Simplify right side
    582.79x = 240,151.32
  5. Step 5: Solve for x
    x = 240,151.32/582.79
  6. Step 6: Final answer
    x = 412.08

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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.