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Finding the Fourth Proportional to 605.92, 829.90 and 570.45

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Solution

The fourth proportional to 605.92, 829.90 and 570.45 is: 781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 829.90 = 570.45 : x
  2. Step 2: Convert to fraction form
    605.92/829.90 = 570.45/x
  3. Step 3: Cross multiply
    605.92x = 829.90 × 570.45
  4. Step 4: Simplify right side
    605.92x = 473,416.46
  5. Step 5: Solve for x
    x = 473,416.46/605.92
  6. Step 6: Final answer
    x = 781.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.