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Finding the Fourth Proportional to 653.80, 901.88 and 457.78

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Solution

The fourth proportional to 653.80, 901.88 and 457.78 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 901.88 = 457.78 : x
  2. Step 2: Convert to fraction form
    653.80/901.88 = 457.78/x
  3. Step 3: Cross multiply
    653.80x = 901.88 × 457.78
  4. Step 4: Simplify right side
    653.80x = 412,862.63
  5. Step 5: Solve for x
    x = 412,862.63/653.80
  6. Step 6: Final answer
    x = 631.48

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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.