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Finding the Fourth Proportional to 462.03, 691.49 and 389.00

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Solution

The fourth proportional to 462.03, 691.49 and 389.00 is: 582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.03 : 691.49 = 389.00 : x
  2. Step 2: Convert to fraction form
    462.03/691.49 = 389.00/x
  3. Step 3: Cross multiply
    462.03x = 691.49 × 389.00
  4. Step 4: Simplify right side
    462.03x = 268,984.21
  5. Step 5: Solve for x
    x = 268,984.21/462.03
  6. Step 6: Final answer
    x = 582.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.