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Finding the Fourth Proportional to 582.78, 873.29 and 351.41

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Solution

The fourth proportional to 582.78, 873.29 and 351.41 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 873.29 = 351.41 : x
  2. Step 2: Convert to fraction form
    582.78/873.29 = 351.41/x
  3. Step 3: Cross multiply
    582.78x = 873.29 × 351.41
  4. Step 4: Simplify right side
    582.78x = 306,879.99
  5. Step 5: Solve for x
    x = 306,879.99/582.78
  6. Step 6: Final answer
    x = 526.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.