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Finding the Fourth Proportional to 475.42, 711.74 and 384.30

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Solution

The fourth proportional to 475.42, 711.74 and 384.30 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.42 : 711.74 = 384.30 : x
  2. Step 2: Convert to fraction form
    475.42/711.74 = 384.30/x
  3. Step 3: Cross multiply
    475.42x = 711.74 × 384.30
  4. Step 4: Simplify right side
    475.42x = 273,521.68
  5. Step 5: Solve for x
    x = 273,521.68/475.42
  6. Step 6: Final answer
    x = 575.33

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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.