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Finding the Fourth Proportional to 309.50, 424.88 and 265.76

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Solution

The fourth proportional to 309.50, 424.88 and 265.76 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 424.88 = 265.76 : x
  2. Step 2: Convert to fraction form
    309.50/424.88 = 265.76/x
  3. Step 3: Cross multiply
    309.50x = 424.88 × 265.76
  4. Step 4: Simplify right side
    309.50x = 112,915.84
  5. Step 5: Solve for x
    x = 112,915.84/309.50
  6. Step 6: Final answer
    x = 364.83

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Why These Related Problems?

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