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Finding the Fourth Proportional to 313.51, 432.84 and 280.70

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Solution

The fourth proportional to 313.51, 432.84 and 280.70 is: 387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.51 : 432.84 = 280.70 : x
  2. Step 2: Convert to fraction form
    313.51/432.84 = 280.70/x
  3. Step 3: Cross multiply
    313.51x = 432.84 × 280.70
  4. Step 4: Simplify right side
    313.51x = 121,496.78
  5. Step 5: Solve for x
    x = 121,496.78/313.51
  6. Step 6: Final answer
    x = 387.54

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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.