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Finding the Fourth Proportional to 511.98, 706.50 and 477.12

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Solution

The fourth proportional to 511.98, 706.50 and 477.12 is: 658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 706.50 = 477.12 : x
  2. Step 2: Convert to fraction form
    511.98/706.50 = 477.12/x
  3. Step 3: Cross multiply
    511.98x = 706.50 × 477.12
  4. Step 4: Simplify right side
    511.98x = 337,085.28
  5. Step 5: Solve for x
    x = 337,085.28/511.98
  6. Step 6: Final answer
    x = 658.40

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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.