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Finding the Fourth Proportional to 400.19, 552.33 and 260.69

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Solution

The fourth proportional to 400.19, 552.33 and 260.69 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 552.33 = 260.69 : x
  2. Step 2: Convert to fraction form
    400.19/552.33 = 260.69/x
  3. Step 3: Cross multiply
    400.19x = 552.33 × 260.69
  4. Step 4: Simplify right side
    400.19x = 143,989.17
  5. Step 5: Solve for x
    x = 143,989.17/400.19
  6. Step 6: Final answer
    x = 359.80

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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.