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Finding the Fourth Proportional to 655.47, 904.56 and 375.75

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Solution

The fourth proportional to 655.47, 904.56 and 375.75 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 904.56 = 375.75 : x
  2. Step 2: Convert to fraction form
    655.47/904.56 = 375.75/x
  3. Step 3: Cross multiply
    655.47x = 904.56 × 375.75
  4. Step 4: Simplify right side
    655.47x = 339,888.42
  5. Step 5: Solve for x
    x = 339,888.42/655.47
  6. Step 6: Final answer
    x = 518.54

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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.