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Finding the Fourth Proportional to 582.14, 874.56 and 377.12

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Solution

The fourth proportional to 582.14, 874.56 and 377.12 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 874.56 = 377.12 : x
  2. Step 2: Convert to fraction form
    582.14/874.56 = 377.12/x
  3. Step 3: Cross multiply
    582.14x = 874.56 × 377.12
  4. Step 4: Simplify right side
    582.14x = 329,814.07
  5. Step 5: Solve for x
    x = 329,814.07/582.14
  6. Step 6: Final answer
    x = 566.55

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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.