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Finding the Fourth Proportional to 656.80, 905.70 and 457.86

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Solution

The fourth proportional to 656.80, 905.70 and 457.86 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 905.70 = 457.86 : x
  2. Step 2: Convert to fraction form
    656.80/905.70 = 457.86/x
  3. Step 3: Cross multiply
    656.80x = 905.70 × 457.86
  4. Step 4: Simplify right side
    656.80x = 414,683.80
  5. Step 5: Solve for x
    x = 414,683.80/656.80
  6. Step 6: Final answer
    x = 631.37

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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.