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Finding the Fourth Proportional to 600.74, 828.78 and 368.00

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Solution

The fourth proportional to 600.74, 828.78 and 368.00 is: 507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.74 : 828.78 = 368.00 : x
  2. Step 2: Convert to fraction form
    600.74/828.78 = 368.00/x
  3. Step 3: Cross multiply
    600.74x = 828.78 × 368.00
  4. Step 4: Simplify right side
    600.74x = 304,986.90
  5. Step 5: Solve for x
    x = 304,986.90/600.74
  6. Step 6: Final answer
    x = 507.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.