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Finding the Fourth Proportional to 470.53, 649.35 and 432.84

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Solution

The fourth proportional to 470.53, 649.35 and 432.84 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 649.35 = 432.84 : x
  2. Step 2: Convert to fraction form
    470.53/649.35 = 432.84/x
  3. Step 3: Cross multiply
    470.53x = 649.35 × 432.84
  4. Step 4: Simplify right side
    470.53x = 281,067.09
  5. Step 5: Solve for x
    x = 281,067.09/470.53
  6. Step 6: Final answer
    x = 597.35

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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.