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Finding the Fourth Proportional to 317.97, 435.89 and 312.93

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Solution

The fourth proportional to 317.97, 435.89 and 312.93 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.97 : 435.89 = 312.93 : x
  2. Step 2: Convert to fraction form
    317.97/435.89 = 312.93/x
  3. Step 3: Cross multiply
    317.97x = 435.89 × 312.93
  4. Step 4: Simplify right side
    317.97x = 136,403.84
  5. Step 5: Solve for x
    x = 136,403.84/317.97
  6. Step 6: Final answer
    x = 428.98

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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.