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Finding the Fourth Proportional to 592.84, 889.07 and 411.40

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Solution

The fourth proportional to 592.84, 889.07 and 411.40 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.84 : 889.07 = 411.40 : x
  2. Step 2: Convert to fraction form
    592.84/889.07 = 411.40/x
  3. Step 3: Cross multiply
    592.84x = 889.07 × 411.40
  4. Step 4: Simplify right side
    592.84x = 365,763.40
  5. Step 5: Solve for x
    x = 365,763.40/592.84
  6. Step 6: Final answer
    x = 616.97

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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.