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Finding the Fourth Proportional to 601.07, 828.56 and 469.85

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Solution

The fourth proportional to 601.07, 828.56 and 469.85 is: 647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 828.56 = 469.85 : x
  2. Step 2: Convert to fraction form
    601.07/828.56 = 469.85/x
  3. Step 3: Cross multiply
    601.07x = 828.56 × 469.85
  4. Step 4: Simplify right side
    601.07x = 389,295.95
  5. Step 5: Solve for x
    x = 389,295.95/601.07
  6. Step 6: Final answer
    x = 647.68

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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.