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Finding the Fourth Proportional to 597.54, 895.04 and 415.28

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Solution

The fourth proportional to 597.54, 895.04 and 415.28 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 895.04 = 415.28 : x
  2. Step 2: Convert to fraction form
    597.54/895.04 = 415.28/x
  3. Step 3: Cross multiply
    597.54x = 895.04 × 415.28
  4. Step 4: Simplify right side
    597.54x = 371,692.21
  5. Step 5: Solve for x
    x = 371,692.21/597.54
  6. Step 6: Final answer
    x = 622.04

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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.