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Finding the Fourth Proportional to 340.66, 470.53 and 296.31

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Solution

The fourth proportional to 340.66, 470.53 and 296.31 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.66 : 470.53 = 296.31 : x
  2. Step 2: Convert to fraction form
    340.66/470.53 = 296.31/x
  3. Step 3: Cross multiply
    340.66x = 470.53 × 296.31
  4. Step 4: Simplify right side
    340.66x = 139,423.07
  5. Step 5: Solve for x
    x = 139,423.07/340.66
  6. Step 6: Final answer
    x = 409.28

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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.