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Finding the Fourth Proportional to 506.55, 698.69 and 310.16

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Solution

The fourth proportional to 506.55, 698.69 and 310.16 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.55 : 698.69 = 310.16 : x
  2. Step 2: Convert to fraction form
    506.55/698.69 = 310.16/x
  3. Step 3: Cross multiply
    506.55x = 698.69 × 310.16
  4. Step 4: Simplify right side
    506.55x = 216,701.23
  5. Step 5: Solve for x
    x = 216,701.23/506.55
  6. Step 6: Final answer
    x = 427.80

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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.