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Finding the Fourth Proportional to 601.23, 829.54 and 364.99

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Solution

The fourth proportional to 601.23, 829.54 and 364.99 is: 503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 829.54 = 364.99 : x
  2. Step 2: Convert to fraction form
    601.23/829.54 = 364.99/x
  3. Step 3: Cross multiply
    601.23x = 829.54 × 364.99
  4. Step 4: Simplify right side
    601.23x = 302,773.80
  5. Step 5: Solve for x
    x = 302,773.80/601.23
  6. Step 6: Final answer
    x = 503.59

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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.