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Finding the Fourth Proportional to 553.83, 830.33 and 370.84

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Solution

The fourth proportional to 553.83, 830.33 and 370.84 is: 555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.83 : 830.33 = 370.84 : x
  2. Step 2: Convert to fraction form
    553.83/830.33 = 370.84/x
  3. Step 3: Cross multiply
    553.83x = 830.33 × 370.84
  4. Step 4: Simplify right side
    553.83x = 307,915.43
  5. Step 5: Solve for x
    x = 307,915.43/553.83
  6. Step 6: Final answer
    x = 555.98

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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.