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Finding the Fourth Proportional to 592.08, 887.16 and 418.08

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Solution

The fourth proportional to 592.08, 887.16 and 418.08 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.08 : 887.16 = 418.08 : x
  2. Step 2: Convert to fraction form
    592.08/887.16 = 418.08/x
  3. Step 3: Cross multiply
    592.08x = 887.16 × 418.08
  4. Step 4: Simplify right side
    592.08x = 370,903.85
  5. Step 5: Solve for x
    x = 370,903.85/592.08
  6. Step 6: Final answer
    x = 626.44

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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.