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Finding the Fourth Proportional to 531.05, 794.81 and 415.15

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Solution

The fourth proportional to 531.05, 794.81 and 415.15 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.05 : 794.81 = 415.15 : x
  2. Step 2: Convert to fraction form
    531.05/794.81 = 415.15/x
  3. Step 3: Cross multiply
    531.05x = 794.81 × 415.15
  4. Step 4: Simplify right side
    531.05x = 329,964.42
  5. Step 5: Solve for x
    x = 329,964.42/531.05
  6. Step 6: Final answer
    x = 621.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.