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Finding the Fourth Proportional to 475.46, 713.80 and 259.19

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Solution

The fourth proportional to 475.46, 713.80 and 259.19 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.46 : 713.80 = 259.19 : x
  2. Step 2: Convert to fraction form
    475.46/713.80 = 259.19/x
  3. Step 3: Cross multiply
    475.46x = 713.80 × 259.19
  4. Step 4: Simplify right side
    475.46x = 185,009.82
  5. Step 5: Solve for x
    x = 185,009.82/475.46
  6. Step 6: Final answer
    x = 389.12

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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.