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Finding the Fourth Proportional to 594.56, 824.00 and 585.45

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Solution

The fourth proportional to 594.56, 824.00 and 585.45 is: 811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 824.00 = 585.45 : x
  2. Step 2: Convert to fraction form
    594.56/824.00 = 585.45/x
  3. Step 3: Cross multiply
    594.56x = 824.00 × 585.45
  4. Step 4: Simplify right side
    594.56x = 482,407.87
  5. Step 5: Solve for x
    x = 482,407.87/594.56
  6. Step 6: Final answer
    x = 811.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.