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Finding the Fourth Proportional to 482.98, 720.93 and 414.94

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Solution

The fourth proportional to 482.98, 720.93 and 414.94 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.98 : 720.93 = 414.94 : x
  2. Step 2: Convert to fraction form
    482.98/720.93 = 414.94/x
  3. Step 3: Cross multiply
    482.98x = 720.93 × 414.94
  4. Step 4: Simplify right side
    482.98x = 299,139.47
  5. Step 5: Solve for x
    x = 299,139.47/482.98
  6. Step 6: Final answer
    x = 619.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.