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Finding the Fourth Proportional to 365.10, 543.78 and 352.32

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Solution

The fourth proportional to 365.10, 543.78 and 352.32 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 543.78 = 352.32 : x
  2. Step 2: Convert to fraction form
    365.10/543.78 = 352.32/x
  3. Step 3: Cross multiply
    365.10x = 543.78 × 352.32
  4. Step 4: Simplify right side
    365.10x = 191,584.57
  5. Step 5: Solve for x
    x = 191,584.57/365.10
  6. Step 6: Final answer
    x = 524.75

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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.