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Finding the Fourth Proportional to 656.81, 906.45 and 457.65

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Solution

The fourth proportional to 656.81, 906.45 and 457.65 is: 631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.81 : 906.45 = 457.65 : x
  2. Step 2: Convert to fraction form
    656.81/906.45 = 457.65/x
  3. Step 3: Cross multiply
    656.81x = 906.45 × 457.65
  4. Step 4: Simplify right side
    656.81x = 414,834.55
  5. Step 5: Solve for x
    x = 414,834.55/656.81
  6. Step 6: Final answer
    x = 631.59

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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.