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Finding the Fourth Proportional to 594.81, 820.73 and 358.70

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Solution

The fourth proportional to 594.81, 820.73 and 358.70 is: 494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.81 : 820.73 = 358.70 : x
  2. Step 2: Convert to fraction form
    594.81/820.73 = 358.70/x
  3. Step 3: Cross multiply
    594.81x = 820.73 × 358.70
  4. Step 4: Simplify right side
    594.81x = 294,392.64
  5. Step 5: Solve for x
    x = 294,392.64/594.81
  6. Step 6: Final answer
    x = 494.94

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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.