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Finding the Fourth Proportional to 653.02, 901.28 and 431.94

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Solution

The fourth proportional to 653.02, 901.28 and 431.94 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.02 : 901.28 = 431.94 : x
  2. Step 2: Convert to fraction form
    653.02/901.28 = 431.94/x
  3. Step 3: Cross multiply
    653.02x = 901.28 × 431.94
  4. Step 4: Simplify right side
    653.02x = 389,298.88
  5. Step 5: Solve for x
    x = 389,298.88/653.02
  6. Step 6: Final answer
    x = 596.15

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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.