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Finding the Fourth Proportional to 365.42, 503.88 and 310.07

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Solution

The fourth proportional to 365.42, 503.88 and 310.07 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 503.88 = 310.07 : x
  2. Step 2: Convert to fraction form
    365.42/503.88 = 310.07/x
  3. Step 3: Cross multiply
    365.42x = 503.88 × 310.07
  4. Step 4: Simplify right side
    365.42x = 156,238.07
  5. Step 5: Solve for x
    x = 156,238.07/365.42
  6. Step 6: Final answer
    x = 427.56

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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.