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Finding the Fourth Proportional to 600.19, 828.49 and 469.24

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Solution

The fourth proportional to 600.19, 828.49 and 469.24 is: 647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 828.49 = 469.24 : x
  2. Step 2: Convert to fraction form
    600.19/828.49 = 469.24/x
  3. Step 3: Cross multiply
    600.19x = 828.49 × 469.24
  4. Step 4: Simplify right side
    600.19x = 388,756.51
  5. Step 5: Solve for x
    x = 388,756.51/600.19
  6. Step 6: Final answer
    x = 647.73

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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.