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Finding the Fourth Proportional to 475.58, 713.18 and 292.42

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Solution

The fourth proportional to 475.58, 713.18 and 292.42 is: 438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.58 : 713.18 = 292.42 : x
  2. Step 2: Convert to fraction form
    475.58/713.18 = 292.42/x
  3. Step 3: Cross multiply
    475.58x = 713.18 × 292.42
  4. Step 4: Simplify right side
    475.58x = 208,548.10
  5. Step 5: Solve for x
    x = 208,548.10/475.58
  6. Step 6: Final answer
    x = 438.51

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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.