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Finding the Fourth Proportional to 477.10, 658.84 and 309.34

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Solution

The fourth proportional to 477.10, 658.84 and 309.34 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.10 : 658.84 = 309.34 : x
  2. Step 2: Convert to fraction form
    477.10/658.84 = 309.34/x
  3. Step 3: Cross multiply
    477.10x = 658.84 × 309.34
  4. Step 4: Simplify right side
    477.10x = 203,802.27
  5. Step 5: Solve for x
    x = 203,802.27/477.10
  6. Step 6: Final answer
    x = 427.17

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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.