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Finding the Fourth Proportional to 505.66, 758.64 and 289.39

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Solution

The fourth proportional to 505.66, 758.64 and 289.39 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 758.64 = 289.39 : x
  2. Step 2: Convert to fraction form
    505.66/758.64 = 289.39/x
  3. Step 3: Cross multiply
    505.66x = 758.64 × 289.39
  4. Step 4: Simplify right side
    505.66x = 219,542.83
  5. Step 5: Solve for x
    x = 219,542.83/505.66
  6. Step 6: Final answer
    x = 434.17

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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.