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Finding the Fourth Proportional to 504.68, 758.70 and 414.05

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Solution

The fourth proportional to 504.68, 758.70 and 414.05 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.68 : 758.70 = 414.05 : x
  2. Step 2: Convert to fraction form
    504.68/758.70 = 414.05/x
  3. Step 3: Cross multiply
    504.68x = 758.70 × 414.05
  4. Step 4: Simplify right side
    504.68x = 314,135.94
  5. Step 5: Solve for x
    x = 314,135.94/504.68
  6. Step 6: Final answer
    x = 622.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.