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Finding the Fourth Proportional to 389.34, 533.88 and 345.60

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Solution

The fourth proportional to 389.34, 533.88 and 345.60 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 533.88 = 345.60 : x
  2. Step 2: Convert to fraction form
    389.34/533.88 = 345.60/x
  3. Step 3: Cross multiply
    389.34x = 533.88 × 345.60
  4. Step 4: Simplify right side
    389.34x = 184,508.93
  5. Step 5: Solve for x
    x = 184,508.93/389.34
  6. Step 6: Final answer
    x = 473.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.