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Finding the Fourth Proportional to 470.32, 649.03 and 260.49

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Solution

The fourth proportional to 470.32, 649.03 and 260.49 is: 359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 649.03 = 260.49 : x
  2. Step 2: Convert to fraction form
    470.32/649.03 = 260.49/x
  3. Step 3: Cross multiply
    470.32x = 649.03 × 260.49
  4. Step 4: Simplify right side
    470.32x = 169,066.51
  5. Step 5: Solve for x
    x = 169,066.51/470.32
  6. Step 6: Final answer
    x = 359.47

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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.