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Finding the Fourth Proportional to 368.17, 551.75 and 313.49

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Solution

The fourth proportional to 368.17, 551.75 and 313.49 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.17 : 551.75 = 313.49 : x
  2. Step 2: Convert to fraction form
    368.17/551.75 = 313.49/x
  3. Step 3: Cross multiply
    368.17x = 551.75 × 313.49
  4. Step 4: Simplify right side
    368.17x = 172,967.92
  5. Step 5: Solve for x
    x = 172,967.92/368.17
  6. Step 6: Final answer
    x = 469.81

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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.