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Finding the Fourth Proportional to 454.55, 682.74 and 390.08

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Solution

The fourth proportional to 454.55, 682.74 and 390.08 is: 585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.55 : 682.74 = 390.08 : x
  2. Step 2: Convert to fraction form
    454.55/682.74 = 390.08/x
  3. Step 3: Cross multiply
    454.55x = 682.74 × 390.08
  4. Step 4: Simplify right side
    454.55x = 266,324.93
  5. Step 5: Solve for x
    x = 266,324.93/454.55
  6. Step 6: Final answer
    x = 585.92

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Why These Related Problems?

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