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Finding the Fourth Proportional to 606.56, 840.29 and 592.20

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Solution

The fourth proportional to 606.56, 840.29 and 592.20 is: 820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.56 : 840.29 = 592.20 : x
  2. Step 2: Convert to fraction form
    606.56/840.29 = 592.20/x
  3. Step 3: Cross multiply
    606.56x = 840.29 × 592.20
  4. Step 4: Simplify right side
    606.56x = 497,616.78
  5. Step 5: Solve for x
    x = 497,616.78/606.56
  6. Step 6: Final answer
    x = 820.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.