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Finding the Fourth Proportional to 476.69, 655.30 and 410.05

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Solution

The fourth proportional to 476.69, 655.30 and 410.05 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 655.30 = 410.05 : x
  2. Step 2: Convert to fraction form
    476.69/655.30 = 410.05/x
  3. Step 3: Cross multiply
    476.69x = 655.30 × 410.05
  4. Step 4: Simplify right side
    476.69x = 268,705.77
  5. Step 5: Solve for x
    x = 268,705.77/476.69
  6. Step 6: Final answer
    x = 563.70

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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.