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Finding the Fourth Proportional to 470.63, 649.47 and 260.81

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Solution

The fourth proportional to 470.63, 649.47 and 260.81 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 649.47 = 260.81 : x
  2. Step 2: Convert to fraction form
    470.63/649.47 = 260.81/x
  3. Step 3: Cross multiply
    470.63x = 649.47 × 260.81
  4. Step 4: Simplify right side
    470.63x = 169,385.02
  5. Step 5: Solve for x
    x = 169,385.02/470.63
  6. Step 6: Final answer
    x = 359.92

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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.