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Finding the Fourth Proportional to 454.32, 623.54 and 412.81

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Solution

The fourth proportional to 454.32, 623.54 and 412.81 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 623.54 = 412.81 : x
  2. Step 2: Convert to fraction form
    454.32/623.54 = 412.81/x
  3. Step 3: Cross multiply
    454.32x = 623.54 × 412.81
  4. Step 4: Simplify right side
    454.32x = 257,403.55
  5. Step 5: Solve for x
    x = 257,403.55/454.32
  6. Step 6: Final answer
    x = 566.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.