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Finding the Fourth Proportional to 733.30, 1,011.86 and 430.49

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Solution

The fourth proportional to 733.30, 1,011.86 and 430.49 is: 594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,011.86 = 430.49 : x
  2. Step 2: Convert to fraction form
    733.30/1,011.86 = 430.49/x
  3. Step 3: Cross multiply
    733.30x = 1,011.86 × 430.49
  4. Step 4: Simplify right side
    733.30x = 435,597.06
  5. Step 5: Solve for x
    x = 435,597.06/733.30
  6. Step 6: Final answer
    x = 594.03

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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.