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Finding the Fourth Proportional to 597.61, 897.09 and 423.55

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Solution

The fourth proportional to 597.61, 897.09 and 423.55 is: 635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.61 : 897.09 = 423.55 : x
  2. Step 2: Convert to fraction form
    597.61/897.09 = 423.55/x
  3. Step 3: Cross multiply
    597.61x = 897.09 × 423.55
  4. Step 4: Simplify right side
    597.61x = 379,962.47
  5. Step 5: Solve for x
    x = 379,962.47/597.61
  6. Step 6: Final answer
    x = 635.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.