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Finding the Fourth Proportional to 520.58, 718.28 and 310.82

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Solution

The fourth proportional to 520.58, 718.28 and 310.82 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.58 : 718.28 = 310.82 : x
  2. Step 2: Convert to fraction form
    520.58/718.28 = 310.82/x
  3. Step 3: Cross multiply
    520.58x = 718.28 × 310.82
  4. Step 4: Simplify right side
    520.58x = 223,258.19
  5. Step 5: Solve for x
    x = 223,258.19/520.58
  6. Step 6: Final answer
    x = 428.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.