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Finding the Fourth Proportional to 655.07, 904.19 and 375.46

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Solution

The fourth proportional to 655.07, 904.19 and 375.46 is: 518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.07 : 904.19 = 375.46 : x
  2. Step 2: Convert to fraction form
    655.07/904.19 = 375.46/x
  3. Step 3: Cross multiply
    655.07x = 904.19 × 375.46
  4. Step 4: Simplify right side
    655.07x = 339,480.78
  5. Step 5: Solve for x
    x = 339,480.78/655.07
  6. Step 6: Final answer
    x = 518.24

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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.