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Finding the Fourth Proportional to 505.77, 758.66 and 343.05

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Solution

The fourth proportional to 505.77, 758.66 and 343.05 is: 514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 758.66 = 343.05 : x
  2. Step 2: Convert to fraction form
    505.77/758.66 = 343.05/x
  3. Step 3: Cross multiply
    505.77x = 758.66 × 343.05
  4. Step 4: Simplify right side
    505.77x = 260,256.60
  5. Step 5: Solve for x
    x = 260,256.60/505.77
  6. Step 6: Final answer
    x = 514.58

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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.