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Finding the Fourth Proportional to 653, 901.68 and 420.53

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Solution

The fourth proportional to 653, 901.68 and 420.53 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 901.68 = 420.53 : x
  2. Step 2: Convert to fraction form
    653/901.68 = 420.53/x
  3. Step 3: Cross multiply
    653x = 901.68 × 420.53
  4. Step 4: Simplify right side
    653x = 379,183.49
  5. Step 5: Solve for x
    x = 379,183.49/653
  6. Step 6: Final answer
    x = 580.68

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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.