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Finding the Fourth Proportional to 313.42, 433.14 and 270.48

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Solution

The fourth proportional to 313.42, 433.14 and 270.48 is: 373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 433.14 = 270.48 : x
  2. Step 2: Convert to fraction form
    313.42/433.14 = 270.48/x
  3. Step 3: Cross multiply
    313.42x = 433.14 × 270.48
  4. Step 4: Simplify right side
    313.42x = 117,155.71
  5. Step 5: Solve for x
    x = 117,155.71/313.42
  6. Step 6: Final answer
    x = 373.80

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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.