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Finding the Fourth Proportional to 482.12, 719.05 and 413

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Solution

The fourth proportional to 482.12, 719.05 and 413 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.12 : 719.05 = 413 : x
  2. Step 2: Convert to fraction form
    482.12/719.05 = 413/x
  3. Step 3: Cross multiply
    482.12x = 719.05 × 413
  4. Step 4: Simplify right side
    482.12x = 296,967.65
  5. Step 5: Solve for x
    x = 296,967.65/482.12
  6. Step 6: Final answer
    x = 615.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.