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Finding the Fourth Proportional to 420.02, 628.72 and 265.71

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Solution

The fourth proportional to 420.02, 628.72 and 265.71 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 628.72 = 265.71 : x
  2. Step 2: Convert to fraction form
    420.02/628.72 = 265.71/x
  3. Step 3: Cross multiply
    420.02x = 628.72 × 265.71
  4. Step 4: Simplify right side
    420.02x = 167,055.86
  5. Step 5: Solve for x
    x = 167,055.86/420.02
  6. Step 6: Final answer
    x = 397.74

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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.