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Finding the Fourth Proportional to 553.64, 830.46 and 229

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Solution

The fourth proportional to 553.64, 830.46 and 229 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 830.46 = 229 : x
  2. Step 2: Convert to fraction form
    553.64/830.46 = 229/x
  3. Step 3: Cross multiply
    553.64x = 830.46 × 229
  4. Step 4: Simplify right side
    553.64x = 190,175.34
  5. Step 5: Solve for x
    x = 190,175.34/553.64
  6. Step 6: Final answer
    x = 343.50

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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.