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Finding the Fourth Proportional to 465.06, 640.89 and 348.42

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Solution

The fourth proportional to 465.06, 640.89 and 348.42 is: 480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 640.89 = 348.42 : x
  2. Step 2: Convert to fraction form
    465.06/640.89 = 348.42/x
  3. Step 3: Cross multiply
    465.06x = 640.89 × 348.42
  4. Step 4: Simplify right side
    465.06x = 223,298.89
  5. Step 5: Solve for x
    x = 223,298.89/465.06
  6. Step 6: Final answer
    x = 480.15

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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.