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Finding the Fourth Proportional to 313.98, 432.75 and 278.22

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Solution

The fourth proportional to 313.98, 432.75 and 278.22 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 432.75 = 278.22 : x
  2. Step 2: Convert to fraction form
    313.98/432.75 = 278.22/x
  3. Step 3: Cross multiply
    313.98x = 432.75 × 278.22
  4. Step 4: Simplify right side
    313.98x = 120,399.71
  5. Step 5: Solve for x
    x = 120,399.71/313.98
  6. Step 6: Final answer
    x = 383.46

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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.