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Finding the Fourth Proportional to 470.51, 649.28 and 260.63

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Solution

The fourth proportional to 470.51, 649.28 and 260.63 is: 359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 649.28 = 260.63 : x
  2. Step 2: Convert to fraction form
    470.51/649.28 = 260.63/x
  3. Step 3: Cross multiply
    470.51x = 649.28 × 260.63
  4. Step 4: Simplify right side
    470.51x = 169,220.54
  5. Step 5: Solve for x
    x = 169,220.54/470.51
  6. Step 6: Final answer
    x = 359.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.