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Finding the Fourth Proportional to 620.84, 930.52 and 389.36

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Solution

The fourth proportional to 620.84, 930.52 and 389.36 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.84 : 930.52 = 389.36 : x
  2. Step 2: Convert to fraction form
    620.84/930.52 = 389.36/x
  3. Step 3: Cross multiply
    620.84x = 930.52 × 389.36
  4. Step 4: Simplify right side
    620.84x = 362,307.27
  5. Step 5: Solve for x
    x = 362,307.27/620.84
  6. Step 6: Final answer
    x = 583.58

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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.