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Finding the Fourth Proportional to 470.33, 649.23 and 457.91

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Solution

The fourth proportional to 470.33, 649.23 and 457.91 is: 632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 649.23 = 457.91 : x
  2. Step 2: Convert to fraction form
    470.33/649.23 = 457.91/x
  3. Step 3: Cross multiply
    470.33x = 649.23 × 457.91
  4. Step 4: Simplify right side
    470.33x = 297,289.81
  5. Step 5: Solve for x
    x = 297,289.81/470.33
  6. Step 6: Final answer
    x = 632.09

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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.