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Finding the Fourth Proportional to 594.69, 820.56 and 358.57

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Solution

The fourth proportional to 594.69, 820.56 and 358.57 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 820.56 = 358.57 : x
  2. Step 2: Convert to fraction form
    594.69/820.56 = 358.57/x
  3. Step 3: Cross multiply
    594.69x = 820.56 × 358.57
  4. Step 4: Simplify right side
    594.69x = 294,228.20
  5. Step 5: Solve for x
    x = 294,228.20/594.69
  6. Step 6: Final answer
    x = 494.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.