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Finding the Fourth Proportional to 553.50, 830.25 and 279.60

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Solution

The fourth proportional to 553.50, 830.25 and 279.60 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 830.25 = 279.60 : x
  2. Step 2: Convert to fraction form
    553.50/830.25 = 279.60/x
  3. Step 3: Cross multiply
    553.50x = 830.25 × 279.60
  4. Step 4: Simplify right side
    553.50x = 232,137.90
  5. Step 5: Solve for x
    x = 232,137.90/553.50
  6. Step 6: Final answer
    x = 419.40

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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.