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Finding the Fourth Proportional to 654.26, 902.86 and 421.52

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Solution

The fourth proportional to 654.26, 902.86 and 421.52 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.26 : 902.86 = 421.52 : x
  2. Step 2: Convert to fraction form
    654.26/902.86 = 421.52/x
  3. Step 3: Cross multiply
    654.26x = 902.86 × 421.52
  4. Step 4: Simplify right side
    654.26x = 380,573.55
  5. Step 5: Solve for x
    x = 380,573.55/654.26
  6. Step 6: Final answer
    x = 581.69

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1.5x scale

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.