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Finding the Fourth Proportional to 365.94, 549.72 and 263.88

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Solution

The fourth proportional to 365.94, 549.72 and 263.88 is: 396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 549.72 = 263.88 : x
  2. Step 2: Convert to fraction form
    365.94/549.72 = 263.88/x
  3. Step 3: Cross multiply
    365.94x = 549.72 × 263.88
  4. Step 4: Simplify right side
    365.94x = 145,060.11
  5. Step 5: Solve for x
    x = 145,060.11/365.94
  6. Step 6: Final answer
    x = 396.40

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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.