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Finding the Fourth Proportional to 554.78, 830.88 and 337.97

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Solution

The fourth proportional to 554.78, 830.88 and 337.97 is: 506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.78 : 830.88 = 337.97 : x
  2. Step 2: Convert to fraction form
    554.78/830.88 = 337.97/x
  3. Step 3: Cross multiply
    554.78x = 830.88 × 337.97
  4. Step 4: Simplify right side
    554.78x = 280,812.51
  5. Step 5: Solve for x
    x = 280,812.51/554.78
  6. Step 6: Final answer
    x = 506.17

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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.