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Finding the Fourth Proportional to 506.58, 758.46 and 274.64

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Solution

The fourth proportional to 506.58, 758.46 and 274.64 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 758.46 = 274.64 : x
  2. Step 2: Convert to fraction form
    506.58/758.46 = 274.64/x
  3. Step 3: Cross multiply
    506.58x = 758.46 × 274.64
  4. Step 4: Simplify right side
    506.58x = 208,303.45
  5. Step 5: Solve for x
    x = 208,303.45/506.58
  6. Step 6: Final answer
    x = 411.20

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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.