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Finding the Fourth Proportional to 475.51, 657.42 and 365.35

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Solution

The fourth proportional to 475.51, 657.42 and 365.35 is: 505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.51 : 657.42 = 365.35 : x
  2. Step 2: Convert to fraction form
    475.51/657.42 = 365.35/x
  3. Step 3: Cross multiply
    475.51x = 657.42 × 365.35
  4. Step 4: Simplify right side
    475.51x = 240,188.40
  5. Step 5: Solve for x
    x = 240,188.40/475.51
  6. Step 6: Final answer
    x = 505.12

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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.