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Finding the Fourth Proportional to 655.98, 905.68 and 407.67

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Solution

The fourth proportional to 655.98, 905.68 and 407.67 is: 562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 905.68 = 407.67 : x
  2. Step 2: Convert to fraction form
    655.98/905.68 = 407.67/x
  3. Step 3: Cross multiply
    655.98x = 905.68 × 407.67
  4. Step 4: Simplify right side
    655.98x = 369,218.57
  5. Step 5: Solve for x
    x = 369,218.57/655.98
  6. Step 6: Final answer
    x = 562.85

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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.