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Finding the Fourth Proportional to 365.42, 503.46 and 253.28

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Solution

The fourth proportional to 365.42, 503.46 and 253.28 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 503.46 = 253.28 : x
  2. Step 2: Convert to fraction form
    365.42/503.46 = 253.28/x
  3. Step 3: Cross multiply
    365.42x = 503.46 × 253.28
  4. Step 4: Simplify right side
    365.42x = 127,516.35
  5. Step 5: Solve for x
    x = 127,516.35/365.42
  6. Step 6: Final answer
    x = 348.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.