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Finding the Fourth Proportional to 470.61, 649.01 and 421.40

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Solution

The fourth proportional to 470.61, 649.01 and 421.40 is: 581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.61 : 649.01 = 421.40 : x
  2. Step 2: Convert to fraction form
    470.61/649.01 = 421.40/x
  3. Step 3: Cross multiply
    470.61x = 649.01 × 421.40
  4. Step 4: Simplify right side
    470.61x = 273,495.49
  5. Step 5: Solve for x
    x = 273,495.49/470.61
  6. Step 6: Final answer
    x = 581.15

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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.