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Finding the Fourth Proportional to 655.35, 904.41 and 406.59

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Solution

The fourth proportional to 655.35, 904.41 and 406.59 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.35 : 904.41 = 406.59 : x
  2. Step 2: Convert to fraction form
    655.35/904.41 = 406.59/x
  3. Step 3: Cross multiply
    655.35x = 904.41 × 406.59
  4. Step 4: Simplify right side
    655.35x = 367,724.06
  5. Step 5: Solve for x
    x = 367,724.06/655.35
  6. Step 6: Final answer
    x = 561.11

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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.