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Finding the Fourth Proportional to 340.03, 508.88 and 209.98

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Solution

The fourth proportional to 340.03, 508.88 and 209.98 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.03 : 508.88 = 209.98 : x
  2. Step 2: Convert to fraction form
    340.03/508.88 = 209.98/x
  3. Step 3: Cross multiply
    340.03x = 508.88 × 209.98
  4. Step 4: Simplify right side
    340.03x = 106,853.57
  5. Step 5: Solve for x
    x = 106,853.57/340.03
  6. Step 6: Final answer
    x = 314.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.