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Finding the Fourth Proportional to 521.52, 719.64 and 311.65

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Solution

The fourth proportional to 521.52, 719.64 and 311.65 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 719.64 = 311.65 : x
  2. Step 2: Convert to fraction form
    521.52/719.64 = 311.65/x
  3. Step 3: Cross multiply
    521.52x = 719.64 × 311.65
  4. Step 4: Simplify right side
    521.52x = 224,277.68
  5. Step 5: Solve for x
    x = 224,277.68/521.52
  6. Step 6: Final answer
    x = 430.05

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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.