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Finding the Fourth Proportional to 313.86, 432.44 and 210.18

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Solution

The fourth proportional to 313.86, 432.44 and 210.18 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 432.44 = 210.18 : x
  2. Step 2: Convert to fraction form
    313.86/432.44 = 210.18/x
  3. Step 3: Cross multiply
    313.86x = 432.44 × 210.18
  4. Step 4: Simplify right side
    313.86x = 90,889.19
  5. Step 5: Solve for x
    x = 90,889.19/313.86
  6. Step 6: Final answer
    x = 289.59

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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.