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Finding the Fourth Proportional to 420.14, 632.28 and 347.60

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Solution

The fourth proportional to 420.14, 632.28 and 347.60 is: 523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.14 : 632.28 = 347.60 : x
  2. Step 2: Convert to fraction form
    420.14/632.28 = 347.60/x
  3. Step 3: Cross multiply
    420.14x = 632.28 × 347.60
  4. Step 4: Simplify right side
    420.14x = 219,780.53
  5. Step 5: Solve for x
    x = 219,780.53/420.14
  6. Step 6: Final answer
    x = 523.11

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Why These Related Problems?

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