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Finding the Fourth Proportional to 384.80, 573.96 and 357.92

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Solution

The fourth proportional to 384.80, 573.96 and 357.92 is: 533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 573.96 = 357.92 : x
  2. Step 2: Convert to fraction form
    384.80/573.96 = 357.92/x
  3. Step 3: Cross multiply
    384.80x = 573.96 × 357.92
  4. Step 4: Simplify right side
    384.80x = 205,431.76
  5. Step 5: Solve for x
    x = 205,431.76/384.80
  6. Step 6: Final answer
    x = 533.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.