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Finding the Fourth Proportional to 653.68, 902.34 and 417.76

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Solution

The fourth proportional to 653.68, 902.34 and 417.76 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.68 : 902.34 = 417.76 : x
  2. Step 2: Convert to fraction form
    653.68/902.34 = 417.76/x
  3. Step 3: Cross multiply
    653.68x = 902.34 × 417.76
  4. Step 4: Simplify right side
    653.68x = 376,961.56
  5. Step 5: Solve for x
    x = 376,961.56/653.68
  6. Step 6: Final answer
    x = 576.68

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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.