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Finding the Fourth Proportional to 384.06, 529.62 and 285.60

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Solution

The fourth proportional to 384.06, 529.62 and 285.60 is: 393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 529.62 = 285.60 : x
  2. Step 2: Convert to fraction form
    384.06/529.62 = 285.60/x
  3. Step 3: Cross multiply
    384.06x = 529.62 × 285.60
  4. Step 4: Simplify right side
    384.06x = 151,259.47
  5. Step 5: Solve for x
    x = 151,259.47/384.06
  6. Step 6: Final answer
    x = 393.84

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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.