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Finding the Fourth Proportional to 653.88, 902.76 and 417.84

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Solution

The fourth proportional to 653.88, 902.76 and 417.84 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 902.76 = 417.84 : x
  2. Step 2: Convert to fraction form
    653.88/902.76 = 417.84/x
  3. Step 3: Cross multiply
    653.88x = 902.76 × 417.84
  4. Step 4: Simplify right side
    653.88x = 377,209.24
  5. Step 5: Solve for x
    x = 377,209.24/653.88
  6. Step 6: Final answer
    x = 576.88

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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.