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Finding the Fourth Proportional to 477.45, 659.29 and 311.60

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Solution

The fourth proportional to 477.45, 659.29 and 311.60 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 659.29 = 311.60 : x
  2. Step 2: Convert to fraction form
    477.45/659.29 = 311.60/x
  3. Step 3: Cross multiply
    477.45x = 659.29 × 311.60
  4. Step 4: Simplify right side
    477.45x = 205,434.76
  5. Step 5: Solve for x
    x = 205,434.76/477.45
  6. Step 6: Final answer
    x = 430.27

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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.