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Finding the Fourth Proportional to 601.34, 829.65 and 352.65

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Solution

The fourth proportional to 601.34, 829.65 and 352.65 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 829.65 = 352.65 : x
  2. Step 2: Convert to fraction form
    601.34/829.65 = 352.65/x
  3. Step 3: Cross multiply
    601.34x = 829.65 × 352.65
  4. Step 4: Simplify right side
    601.34x = 292,576.07
  5. Step 5: Solve for x
    x = 292,576.07/601.34
  6. Step 6: Final answer
    x = 486.54

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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.