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Finding the Fourth Proportional to 384.23, 578.63 and 348.09

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Solution

The fourth proportional to 384.23, 578.63 and 348.09 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.23 : 578.63 = 348.09 : x
  2. Step 2: Convert to fraction form
    384.23/578.63 = 348.09/x
  3. Step 3: Cross multiply
    384.23x = 578.63 × 348.09
  4. Step 4: Simplify right side
    384.23x = 201,415.32
  5. Step 5: Solve for x
    x = 201,415.32/384.23
  6. Step 6: Final answer
    x = 524.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.