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Finding the Fourth Proportional to 601.06, 829.36 and 364.94

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Solution

The fourth proportional to 601.06, 829.36 and 364.94 is: 503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.06 : 829.36 = 364.94 : x
  2. Step 2: Convert to fraction form
    601.06/829.36 = 364.94/x
  3. Step 3: Cross multiply
    601.06x = 829.36 × 364.94
  4. Step 4: Simplify right side
    601.06x = 302,666.64
  5. Step 5: Solve for x
    x = 302,666.64/601.06
  6. Step 6: Final answer
    x = 503.55

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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.