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Finding the Fourth Proportional to 589.74, 813.34 and 506.32

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Solution

The fourth proportional to 589.74, 813.34 and 506.32 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 813.34 = 506.32 : x
  2. Step 2: Convert to fraction form
    589.74/813.34 = 506.32/x
  3. Step 3: Cross multiply
    589.74x = 813.34 × 506.32
  4. Step 4: Simplify right side
    589.74x = 411,810.31
  5. Step 5: Solve for x
    x = 411,810.31/589.74
  6. Step 6: Final answer
    x = 698.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.