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Finding the Fourth Proportional to 594.35, 817.76 and 580.53

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Solution

The fourth proportional to 594.35, 817.76 and 580.53 is: 798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.35 : 817.76 = 580.53 : x
  2. Step 2: Convert to fraction form
    594.35/817.76 = 580.53/x
  3. Step 3: Cross multiply
    594.35x = 817.76 × 580.53
  4. Step 4: Simplify right side
    594.35x = 474,731.31
  5. Step 5: Solve for x
    x = 474,731.31/594.35
  6. Step 6: Final answer
    x = 798.75

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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.