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Finding the Fourth Proportional to 504.39, 757.74 and 435.21

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Solution

The fourth proportional to 504.39, 757.74 and 435.21 is: 653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.39 : 757.74 = 435.21 : x
  2. Step 2: Convert to fraction form
    504.39/757.74 = 435.21/x
  3. Step 3: Cross multiply
    504.39x = 757.74 × 435.21
  4. Step 4: Simplify right side
    504.39x = 329,776.03
  5. Step 5: Solve for x
    x = 329,776.03/504.39
  6. Step 6: Final answer
    x = 653.81

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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.