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Finding the Fourth Proportional to 655.42, 904.02 and 453.61

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Solution

The fourth proportional to 655.42, 904.02 and 453.61 is: 625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.42 : 904.02 = 453.61 : x
  2. Step 2: Convert to fraction form
    655.42/904.02 = 453.61/x
  3. Step 3: Cross multiply
    655.42x = 904.02 × 453.61
  4. Step 4: Simplify right side
    655.42x = 410,070.24
  5. Step 5: Solve for x
    x = 410,070.24/655.42
  6. Step 6: Final answer
    x = 625.66

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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.