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Finding the Fourth Proportional to 475.95, 657.44 and 383.05

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Solution

The fourth proportional to 475.95, 657.44 and 383.05 is: 529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.95 : 657.44 = 383.05 : x
  2. Step 2: Convert to fraction form
    475.95/657.44 = 383.05/x
  3. Step 3: Cross multiply
    475.95x = 657.44 × 383.05
  4. Step 4: Simplify right side
    475.95x = 251,832.39
  5. Step 5: Solve for x
    x = 251,832.39/475.95
  6. Step 6: Final answer
    x = 529.12

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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.