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Finding the Fourth Proportional to 655.37, 904.54 and 416.16

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Solution

The fourth proportional to 655.37, 904.54 and 416.16 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.37 : 904.54 = 416.16 : x
  2. Step 2: Convert to fraction form
    655.37/904.54 = 416.16/x
  3. Step 3: Cross multiply
    655.37x = 904.54 × 416.16
  4. Step 4: Simplify right side
    655.37x = 376,433.37
  5. Step 5: Solve for x
    x = 376,433.37/655.37
  6. Step 6: Final answer
    x = 574.38

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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.