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Finding the Fourth Proportional to 655.25, 904.29 and 406.74

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Solution

The fourth proportional to 655.25, 904.29 and 406.74 is: 561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 904.29 = 406.74 : x
  2. Step 2: Convert to fraction form
    655.25/904.29 = 406.74/x
  3. Step 3: Cross multiply
    655.25x = 904.29 × 406.74
  4. Step 4: Simplify right side
    655.25x = 367,804.36
  5. Step 5: Solve for x
    x = 367,804.36/655.25
  6. Step 6: Final answer
    x = 561.32

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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.