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Finding the Fourth Proportional to 506.09, 758.73 and 289.82

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Solution

The fourth proportional to 506.09, 758.73 and 289.82 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 758.73 = 289.82 : x
  2. Step 2: Convert to fraction form
    506.09/758.73 = 289.82/x
  3. Step 3: Cross multiply
    506.09x = 758.73 × 289.82
  4. Step 4: Simplify right side
    506.09x = 219,895.13
  5. Step 5: Solve for x
    x = 219,895.13/506.09
  6. Step 6: Final answer
    x = 434.50

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1.5x scale

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.