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Finding the Fourth Proportional to 469.22, 646.88 and 454.86

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Solution

The fourth proportional to 469.22, 646.88 and 454.86 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.22 : 646.88 = 454.86 : x
  2. Step 2: Convert to fraction form
    469.22/646.88 = 454.86/x
  3. Step 3: Cross multiply
    469.22x = 646.88 × 454.86
  4. Step 4: Simplify right side
    469.22x = 294,237.56
  5. Step 5: Solve for x
    x = 294,237.56/469.22
  6. Step 6: Final answer
    x = 627.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.