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Finding the Fourth Proportional to 675.19, 931.76 and 364.69

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Solution

The fourth proportional to 675.19, 931.76 and 364.69 is: 503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.19 : 931.76 = 364.69 : x
  2. Step 2: Convert to fraction form
    675.19/931.76 = 364.69/x
  3. Step 3: Cross multiply
    675.19x = 931.76 × 364.69
  4. Step 4: Simplify right side
    675.19x = 339,800.77
  5. Step 5: Solve for x
    x = 339,800.77/675.19
  6. Step 6: Final answer
    x = 503.27

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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.