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Finding the Fourth Proportional to 594.74, 820.74 and 332.76

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Solution

The fourth proportional to 594.74, 820.74 and 332.76 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.74 : 820.74 = 332.76 : x
  2. Step 2: Convert to fraction form
    594.74/820.74 = 332.76/x
  3. Step 3: Cross multiply
    594.74x = 820.74 × 332.76
  4. Step 4: Simplify right side
    594.74x = 273,106.36
  5. Step 5: Solve for x
    x = 273,106.36/594.74
  6. Step 6: Final answer
    x = 459.20

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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.