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Finding the Fourth Proportional to 656.59, 905.86 and 420.57

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Solution

The fourth proportional to 656.59, 905.86 and 420.57 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 905.86 = 420.57 : x
  2. Step 2: Convert to fraction form
    656.59/905.86 = 420.57/x
  3. Step 3: Cross multiply
    656.59x = 905.86 × 420.57
  4. Step 4: Simplify right side
    656.59x = 380,981.46
  5. Step 5: Solve for x
    x = 380,981.46/656.59
  6. Step 6: Final answer
    x = 580.24

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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.