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Finding the Fourth Proportional to 655.02, 904.09 and 406.19

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Solution

The fourth proportional to 655.02, 904.09 and 406.19 is: 560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 904.09 = 406.19 : x
  2. Step 2: Convert to fraction form
    655.02/904.09 = 406.19/x
  3. Step 3: Cross multiply
    655.02x = 904.09 × 406.19
  4. Step 4: Simplify right side
    655.02x = 367,232.32
  5. Step 5: Solve for x
    x = 367,232.32/655.02
  6. Step 6: Final answer
    x = 560.64

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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.