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Finding the Fourth Proportional to 471.14, 709.48 and 410.99

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Solution

The fourth proportional to 471.14, 709.48 and 410.99 is: 618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 709.48 = 410.99 : x
  2. Step 2: Convert to fraction form
    471.14/709.48 = 410.99/x
  3. Step 3: Cross multiply
    471.14x = 709.48 × 410.99
  4. Step 4: Simplify right side
    471.14x = 291,587.13
  5. Step 5: Solve for x
    x = 291,587.13/471.14
  6. Step 6: Final answer
    x = 618.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.