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Finding the Fourth Proportional to 340.50, 508.75 and 247.50

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Solution

The fourth proportional to 340.50, 508.75 and 247.50 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 508.75 = 247.50 : x
  2. Step 2: Convert to fraction form
    340.50/508.75 = 247.50/x
  3. Step 3: Cross multiply
    340.50x = 508.75 × 247.50
  4. Step 4: Simplify right side
    340.50x = 125,915.63
  5. Step 5: Solve for x
    x = 125,915.63/340.50
  6. Step 6: Final answer
    x = 369.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.