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Finding the Fourth Proportional to 653.06, 901.64 and 420.59

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Solution

The fourth proportional to 653.06, 901.64 and 420.59 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 901.64 = 420.59 : x
  2. Step 2: Convert to fraction form
    653.06/901.64 = 420.59/x
  3. Step 3: Cross multiply
    653.06x = 901.64 × 420.59
  4. Step 4: Simplify right side
    653.06x = 379,224.07
  5. Step 5: Solve for x
    x = 379,224.07/653.06
  6. Step 6: Final answer
    x = 580.69

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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.