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Finding the Fourth Proportional to 380.46, 570.12 and 339.24

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Solution

The fourth proportional to 380.46, 570.12 and 339.24 is: 508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.46 : 570.12 = 339.24 : x
  2. Step 2: Convert to fraction form
    380.46/570.12 = 339.24/x
  3. Step 3: Cross multiply
    380.46x = 570.12 × 339.24
  4. Step 4: Simplify right side
    380.46x = 193,407.51
  5. Step 5: Solve for x
    x = 193,407.51/380.46
  6. Step 6: Final answer
    x = 508.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.