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Finding the Fourth Proportional to 475.65, 656.37 and 359.01

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Solution

The fourth proportional to 475.65, 656.37 and 359.01 is: 495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.65 : 656.37 = 359.01 : x
  2. Step 2: Convert to fraction form
    475.65/656.37 = 359.01/x
  3. Step 3: Cross multiply
    475.65x = 656.37 × 359.01
  4. Step 4: Simplify right side
    475.65x = 235,643.39
  5. Step 5: Solve for x
    x = 235,643.39/475.65
  6. Step 6: Final answer
    x = 495.41

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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.