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Finding the Fourth Proportional to 482.83, 722.51 and 418.05

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Solution

The fourth proportional to 482.83, 722.51 and 418.05 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.83 : 722.51 = 418.05 : x
  2. Step 2: Convert to fraction form
    482.83/722.51 = 418.05/x
  3. Step 3: Cross multiply
    482.83x = 722.51 × 418.05
  4. Step 4: Simplify right side
    482.83x = 302,049.84
  5. Step 5: Solve for x
    x = 302,049.84/482.83
  6. Step 6: Final answer
    x = 625.58

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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.