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Finding the Fourth Proportional to 411.19, 566.13 and 348.93

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Solution

The fourth proportional to 411.19, 566.13 and 348.93 is: 480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.19 : 566.13 = 348.93 : x
  2. Step 2: Convert to fraction form
    411.19/566.13 = 348.93/x
  3. Step 3: Cross multiply
    411.19x = 566.13 × 348.93
  4. Step 4: Simplify right side
    411.19x = 197,539.74
  5. Step 5: Solve for x
    x = 197,539.74/411.19
  6. Step 6: Final answer
    x = 480.41

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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.