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Finding the Fourth Proportional to 470.60, 649.14 and 295.64

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Solution

The fourth proportional to 470.60, 649.14 and 295.64 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 649.14 = 295.64 : x
  2. Step 2: Convert to fraction form
    470.60/649.14 = 295.64/x
  3. Step 3: Cross multiply
    470.60x = 649.14 × 295.64
  4. Step 4: Simplify right side
    470.60x = 191,911.75
  5. Step 5: Solve for x
    x = 191,911.75/470.60
  6. Step 6: Final answer
    x = 407.80

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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.