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Finding the Fourth Proportional to 597.02, 895.23 and 459.73

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Solution

The fourth proportional to 597.02, 895.23 and 459.73 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 895.23 = 459.73 : x
  2. Step 2: Convert to fraction form
    597.02/895.23 = 459.73/x
  3. Step 3: Cross multiply
    597.02x = 895.23 × 459.73
  4. Step 4: Simplify right side
    597.02x = 411,564.09
  5. Step 5: Solve for x
    x = 411,564.09/597.02
  6. Step 6: Final answer
    x = 689.36

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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.