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Finding the Fourth Proportional to 505.77, 758.75 and 213.42

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Solution

The fourth proportional to 505.77, 758.75 and 213.42 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 758.75 = 213.42 : x
  2. Step 2: Convert to fraction form
    505.77/758.75 = 213.42/x
  3. Step 3: Cross multiply
    505.77x = 758.75 × 213.42
  4. Step 4: Simplify right side
    505.77x = 161,931.36
  5. Step 5: Solve for x
    x = 161,931.36/505.77
  6. Step 6: Final answer
    x = 320.17

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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.