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Finding the Fourth Proportional to 475.03, 709.39 and 410.18

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Solution

The fourth proportional to 475.03, 709.39 and 410.18 is: 612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.03 : 709.39 = 410.18 : x
  2. Step 2: Convert to fraction form
    475.03/709.39 = 410.18/x
  3. Step 3: Cross multiply
    475.03x = 709.39 × 410.18
  4. Step 4: Simplify right side
    475.03x = 290,978.34
  5. Step 5: Solve for x
    x = 290,978.34/475.03
  6. Step 6: Final answer
    x = 612.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.