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Finding the Fourth Proportional to 589.58, 813.51 and 496.08

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Solution

The fourth proportional to 589.58, 813.51 and 496.08 is: 684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.58 : 813.51 = 496.08 : x
  2. Step 2: Convert to fraction form
    589.58/813.51 = 496.08/x
  3. Step 3: Cross multiply
    589.58x = 813.51 × 496.08
  4. Step 4: Simplify right side
    589.58x = 403,566.04
  5. Step 5: Solve for x
    x = 403,566.04/589.58
  6. Step 6: Final answer
    x = 684.50

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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.