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Finding the Fourth Proportional to 452.96, 678.40 and 236

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Solution

The fourth proportional to 452.96, 678.40 and 236 is: 353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 678.40 = 236 : x
  2. Step 2: Convert to fraction form
    452.96/678.40 = 236/x
  3. Step 3: Cross multiply
    452.96x = 678.40 × 236
  4. Step 4: Simplify right side
    452.96x = 160,102.40
  5. Step 5: Solve for x
    x = 160,102.40/452.96
  6. Step 6: Final answer
    x = 353.46

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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.