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Finding the Fourth Proportional to 654.56, 904.28 and 431.04

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Solution

The fourth proportional to 654.56, 904.28 and 431.04 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.56 : 904.28 = 431.04 : x
  2. Step 2: Convert to fraction form
    654.56/904.28 = 431.04/x
  3. Step 3: Cross multiply
    654.56x = 904.28 × 431.04
  4. Step 4: Simplify right side
    654.56x = 389,780.85
  5. Step 5: Solve for x
    x = 389,780.85/654.56
  6. Step 6: Final answer
    x = 595.49

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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.