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Finding the Fourth Proportional to 619.80, 929.88 and 208.93

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Solution

The fourth proportional to 619.80, 929.88 and 208.93 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.80 : 929.88 = 208.93 : x
  2. Step 2: Convert to fraction form
    619.80/929.88 = 208.93/x
  3. Step 3: Cross multiply
    619.80x = 929.88 × 208.93
  4. Step 4: Simplify right side
    619.80x = 194,279.25
  5. Step 5: Solve for x
    x = 194,279.25/619.80
  6. Step 6: Final answer
    x = 313.45

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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.