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Finding the Fourth Proportional to 465.35, 643.34 and 348.71

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Solution

The fourth proportional to 465.35, 643.34 and 348.71 is: 482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 643.34 = 348.71 : x
  2. Step 2: Convert to fraction form
    465.35/643.34 = 348.71/x
  3. Step 3: Cross multiply
    465.35x = 643.34 × 348.71
  4. Step 4: Simplify right side
    465.35x = 224,336.75
  5. Step 5: Solve for x
    x = 224,336.75/465.35
  6. Step 6: Final answer
    x = 482.09

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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.