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Finding the Fourth Proportional to 476.12, 657.65 and 365.36

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Solution

The fourth proportional to 476.12, 657.65 and 365.36 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 657.65 = 365.36 : x
  2. Step 2: Convert to fraction form
    476.12/657.65 = 365.36/x
  3. Step 3: Cross multiply
    476.12x = 657.65 × 365.36
  4. Step 4: Simplify right side
    476.12x = 240,276.63
  5. Step 5: Solve for x
    x = 240,276.63/476.12
  6. Step 6: Final answer
    x = 504.65

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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.