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Finding the Fourth Proportional to 368.28, 551.74 and 313.61

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Solution

The fourth proportional to 368.28, 551.74 and 313.61 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.28 : 551.74 = 313.61 : x
  2. Step 2: Convert to fraction form
    368.28/551.74 = 313.61/x
  3. Step 3: Cross multiply
    368.28x = 551.74 × 313.61
  4. Step 4: Simplify right side
    368.28x = 173,031.18
  5. Step 5: Solve for x
    x = 173,031.18/368.28
  6. Step 6: Final answer
    x = 469.84

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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.