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Finding the Fourth Proportional to 504.90, 757.74 and 407.64

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Solution

The fourth proportional to 504.90, 757.74 and 407.64 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 757.74 = 407.64 : x
  2. Step 2: Convert to fraction form
    504.90/757.74 = 407.64/x
  3. Step 3: Cross multiply
    504.90x = 757.74 × 407.64
  4. Step 4: Simplify right side
    504.90x = 308,885.13
  5. Step 5: Solve for x
    x = 308,885.13/504.90
  6. Step 6: Final answer
    x = 611.77

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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.