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Finding the Fourth Proportional to 675.13, 931.67 and 364.63

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Solution

The fourth proportional to 675.13, 931.67 and 364.63 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.13 : 931.67 = 364.63 : x
  2. Step 2: Convert to fraction form
    675.13/931.67 = 364.63/x
  3. Step 3: Cross multiply
    675.13x = 931.67 × 364.63
  4. Step 4: Simplify right side
    675.13x = 339,711.09
  5. Step 5: Solve for x
    x = 339,711.09/675.13
  6. Step 6: Final answer
    x = 503.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.