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Finding the Fourth Proportional to 465.40, 643.14 and 348.76

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Solution

The fourth proportional to 465.40, 643.14 and 348.76 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 643.14 = 348.76 : x
  2. Step 2: Convert to fraction form
    465.40/643.14 = 348.76/x
  3. Step 3: Cross multiply
    465.40x = 643.14 × 348.76
  4. Step 4: Simplify right side
    465.40x = 224,301.51
  5. Step 5: Solve for x
    x = 224,301.51/465.40
  6. Step 6: Final answer
    x = 481.95

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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.