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Finding the Fourth Proportional to 601.66, 829.44 and 469.06

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Solution

The fourth proportional to 601.66, 829.44 and 469.06 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.66 : 829.44 = 469.06 : x
  2. Step 2: Convert to fraction form
    601.66/829.44 = 469.06/x
  3. Step 3: Cross multiply
    601.66x = 829.44 × 469.06
  4. Step 4: Simplify right side
    601.66x = 389,057.13
  5. Step 5: Solve for x
    x = 389,057.13/601.66
  6. Step 6: Final answer
    x = 646.64

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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.