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Finding the Fourth Proportional to 475.37, 656.04 and 288.87

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Solution

The fourth proportional to 475.37, 656.04 and 288.87 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.37 : 656.04 = 288.87 : x
  2. Step 2: Convert to fraction form
    475.37/656.04 = 288.87/x
  3. Step 3: Cross multiply
    475.37x = 656.04 × 288.87
  4. Step 4: Simplify right side
    475.37x = 189,510.27
  5. Step 5: Solve for x
    x = 189,510.27/475.37
  6. Step 6: Final answer
    x = 398.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.