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Finding the Fourth Proportional to 420.02, 629.76 and 358.34

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Solution

The fourth proportional to 420.02, 629.76 and 358.34 is: 537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 629.76 = 358.34 : x
  2. Step 2: Convert to fraction form
    420.02/629.76 = 358.34/x
  3. Step 3: Cross multiply
    420.02x = 629.76 × 358.34
  4. Step 4: Simplify right side
    420.02x = 225,668.20
  5. Step 5: Solve for x
    x = 225,668.20/420.02
  6. Step 6: Final answer
    x = 537.28

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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.