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Finding the Fourth Proportional to 310.84, 431.93 and 307.67

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Solution

The fourth proportional to 310.84, 431.93 and 307.67 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.84 : 431.93 = 307.67 : x
  2. Step 2: Convert to fraction form
    310.84/431.93 = 307.67/x
  3. Step 3: Cross multiply
    310.84x = 431.93 × 307.67
  4. Step 4: Simplify right side
    310.84x = 132,890.51
  5. Step 5: Solve for x
    x = 132,890.51/310.84
  6. Step 6: Final answer
    x = 427.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.