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Finding the Fourth Proportional to 365.84, 546.12 and 352.16

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Solution

The fourth proportional to 365.84, 546.12 and 352.16 is: 525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 546.12 = 352.16 : x
  2. Step 2: Convert to fraction form
    365.84/546.12 = 352.16/x
  3. Step 3: Cross multiply
    365.84x = 546.12 × 352.16
  4. Step 4: Simplify right side
    365.84x = 192,321.62
  5. Step 5: Solve for x
    x = 192,321.62/365.84
  6. Step 6: Final answer
    x = 525.70

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Why These Related Problems?

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