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Finding the Fourth Proportional to 462.00, 637.57 and 314.69

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Solution

The fourth proportional to 462.00, 637.57 and 314.69 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.00 : 637.57 = 314.69 : x
  2. Step 2: Convert to fraction form
    462.00/637.57 = 314.69/x
  3. Step 3: Cross multiply
    462.00x = 637.57 × 314.69
  4. Step 4: Simplify right side
    462.00x = 200,634.11
  5. Step 5: Solve for x
    x = 200,634.11/462.00
  6. Step 6: Final answer
    x = 434.27

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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.