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Finding the Fourth Proportional to 470.52, 649.35 and 330.57

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Solution

The fourth proportional to 470.52, 649.35 and 330.57 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 649.35 = 330.57 : x
  2. Step 2: Convert to fraction form
    470.52/649.35 = 330.57/x
  3. Step 3: Cross multiply
    470.52x = 649.35 × 330.57
  4. Step 4: Simplify right side
    470.52x = 214,655.63
  5. Step 5: Solve for x
    x = 214,655.63/470.52
  6. Step 6: Final answer
    x = 456.21

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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.