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Finding the Fourth Proportional to 594.32, 823.90 and 582.40

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Solution

The fourth proportional to 594.32, 823.90 and 582.40 is: 807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.32 : 823.90 = 582.40 : x
  2. Step 2: Convert to fraction form
    594.32/823.90 = 582.40/x
  3. Step 3: Cross multiply
    594.32x = 823.90 × 582.40
  4. Step 4: Simplify right side
    594.32x = 479,839.36
  5. Step 5: Solve for x
    x = 479,839.36/594.32
  6. Step 6: Final answer
    x = 807.38

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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.