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Finding the Fourth Proportional to 454.56, 624.04 and 410.64

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Solution

The fourth proportional to 454.56, 624.04 and 410.64 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 624.04 = 410.64 : x
  2. Step 2: Convert to fraction form
    454.56/624.04 = 410.64/x
  3. Step 3: Cross multiply
    454.56x = 624.04 × 410.64
  4. Step 4: Simplify right side
    454.56x = 256,255.79
  5. Step 5: Solve for x
    x = 256,255.79/454.56
  6. Step 6: Final answer
    x = 563.74

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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.