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Finding the Fourth Proportional to 375.10, 515.23 and 309.46

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Solution

The fourth proportional to 375.10, 515.23 and 309.46 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 515.23 = 309.46 : x
  2. Step 2: Convert to fraction form
    375.10/515.23 = 309.46/x
  3. Step 3: Cross multiply
    375.10x = 515.23 × 309.46
  4. Step 4: Simplify right side
    375.10x = 159,443.08
  5. Step 5: Solve for x
    x = 159,443.08/375.10
  6. Step 6: Final answer
    x = 425.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.