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Finding the Fourth Proportional to 582.83, 878.44 and 502.64

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Solution

The fourth proportional to 582.83, 878.44 and 502.64 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 878.44 = 502.64 : x
  2. Step 2: Convert to fraction form
    582.83/878.44 = 502.64/x
  3. Step 3: Cross multiply
    582.83x = 878.44 × 502.64
  4. Step 4: Simplify right side
    582.83x = 441,539.08
  5. Step 5: Solve for x
    x = 441,539.08/582.83
  6. Step 6: Final answer
    x = 757.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.