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Finding the Fourth Proportional to 653.81, 901.26 and 476.42

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Solution

The fourth proportional to 653.81, 901.26 and 476.42 is: 656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 901.26 = 476.42 : x
  2. Step 2: Convert to fraction form
    653.81/901.26 = 476.42/x
  3. Step 3: Cross multiply
    653.81x = 901.26 × 476.42
  4. Step 4: Simplify right side
    653.81x = 429,373.78
  5. Step 5: Solve for x
    x = 429,373.78/653.81
  6. Step 6: Final answer
    x = 656.73

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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.