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Finding the Fourth Proportional to 520.70, 718.45 and 324.08

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Solution

The fourth proportional to 520.70, 718.45 and 324.08 is: 447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.70 : 718.45 = 324.08 : x
  2. Step 2: Convert to fraction form
    520.70/718.45 = 324.08/x
  3. Step 3: Cross multiply
    520.70x = 718.45 × 324.08
  4. Step 4: Simplify right side
    520.70x = 232,835.28
  5. Step 5: Solve for x
    x = 232,835.28/520.70
  6. Step 6: Final answer
    x = 447.16

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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.