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Finding the Fourth Proportional to 482.59, 722.26 and 365.14

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Solution

The fourth proportional to 482.59, 722.26 and 365.14 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.59 : 722.26 = 365.14 : x
  2. Step 2: Convert to fraction form
    482.59/722.26 = 365.14/x
  3. Step 3: Cross multiply
    482.59x = 722.26 × 365.14
  4. Step 4: Simplify right side
    482.59x = 263,726.02
  5. Step 5: Solve for x
    x = 263,726.02/482.59
  6. Step 6: Final answer
    x = 546.48

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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.