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Finding the Fourth Proportional to 582.35, 873.66 and 518.09

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Solution

The fourth proportional to 582.35, 873.66 and 518.09 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 873.66 = 518.09 : x
  2. Step 2: Convert to fraction form
    582.35/873.66 = 518.09/x
  3. Step 3: Cross multiply
    582.35x = 873.66 × 518.09
  4. Step 4: Simplify right side
    582.35x = 452,634.51
  5. Step 5: Solve for x
    x = 452,634.51/582.35
  6. Step 6: Final answer
    x = 777.26

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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.