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Finding the Fourth Proportional to 758.14, 1,137.51 and 296.06

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Solution

The fourth proportional to 758.14, 1,137.51 and 296.06 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.14 : 1,137.51 = 296.06 : x
  2. Step 2: Convert to fraction form
    758.14/1,137.51 = 296.06/x
  3. Step 3: Cross multiply
    758.14x = 1,137.51 × 296.06
  4. Step 4: Simplify right side
    758.14x = 336,771.21
  5. Step 5: Solve for x
    x = 336,771.21/758.14
  6. Step 6: Final answer
    x = 444.21

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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.