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Finding the Fourth Proportional to 475.42, 712.32 and 384.16

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Solution

The fourth proportional to 475.42, 712.32 and 384.16 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.42 : 712.32 = 384.16 : x
  2. Step 2: Convert to fraction form
    475.42/712.32 = 384.16/x
  3. Step 3: Cross multiply
    475.42x = 712.32 × 384.16
  4. Step 4: Simplify right side
    475.42x = 273,644.85
  5. Step 5: Solve for x
    x = 273,644.85/475.42
  6. Step 6: Final answer
    x = 575.59

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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.