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Finding the Fourth Proportional to 475.90, 714.12 and 259.72

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Solution

The fourth proportional to 475.90, 714.12 and 259.72 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 714.12 = 259.72 : x
  2. Step 2: Convert to fraction form
    475.90/714.12 = 259.72/x
  3. Step 3: Cross multiply
    475.90x = 714.12 × 259.72
  4. Step 4: Simplify right side
    475.90x = 185,471.25
  5. Step 5: Solve for x
    x = 185,471.25/475.90
  6. Step 6: Final answer
    x = 389.73

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Why These Related Problems?

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