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Finding the Fourth Proportional to 653.75, 901.31 and 476.75

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Solution

The fourth proportional to 653.75, 901.31 and 476.75 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 901.31 = 476.75 : x
  2. Step 2: Convert to fraction form
    653.75/901.31 = 476.75/x
  3. Step 3: Cross multiply
    653.75x = 901.31 × 476.75
  4. Step 4: Simplify right side
    653.75x = 429,695.04
  5. Step 5: Solve for x
    x = 429,695.04/653.75
  6. Step 6: Final answer
    x = 657.28

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