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Finding the Fourth Proportional to 655.85, 905.12 and 407.32

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Solution

The fourth proportional to 655.85, 905.12 and 407.32 is: 562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.85 : 905.12 = 407.32 : x
  2. Step 2: Convert to fraction form
    655.85/905.12 = 407.32/x
  3. Step 3: Cross multiply
    655.85x = 905.12 × 407.32
  4. Step 4: Simplify right side
    655.85x = 368,673.48
  5. Step 5: Solve for x
    x = 368,673.48/655.85
  6. Step 6: Final answer
    x = 562.13

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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.