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Finding the Fourth Proportional to 343.35, 514.93 and 288.86

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Solution

The fourth proportional to 343.35, 514.93 and 288.86 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.35 : 514.93 = 288.86 : x
  2. Step 2: Convert to fraction form
    343.35/514.93 = 288.86/x
  3. Step 3: Cross multiply
    343.35x = 514.93 × 288.86
  4. Step 4: Simplify right side
    343.35x = 148,742.68
  5. Step 5: Solve for x
    x = 148,742.68/343.35
  6. Step 6: Final answer
    x = 433.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.