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Finding the Fourth Proportional to 287.24, 429.84 and 233

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Solution

The fourth proportional to 287.24, 429.84 and 233 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.24 : 429.84 = 233 : x
  2. Step 2: Convert to fraction form
    287.24/429.84 = 233/x
  3. Step 3: Cross multiply
    287.24x = 429.84 × 233
  4. Step 4: Simplify right side
    287.24x = 100,152.72
  5. Step 5: Solve for x
    x = 100,152.72/287.24
  6. Step 6: Final answer
    x = 348.67

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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.