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Finding the Fourth Proportional to 506.10, 696.12 and 407.64

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Solution

The fourth proportional to 506.10, 696.12 and 407.64 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 696.12 = 407.64 : x
  2. Step 2: Convert to fraction form
    506.10/696.12 = 407.64/x
  3. Step 3: Cross multiply
    506.10x = 696.12 × 407.64
  4. Step 4: Simplify right side
    506.10x = 283,766.36
  5. Step 5: Solve for x
    x = 283,766.36/506.10
  6. Step 6: Final answer
    x = 560.69

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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.