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Finding the Fourth Proportional to 505.07, 696.13 and 385.39

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Solution

The fourth proportional to 505.07, 696.13 and 385.39 is: 531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.07 : 696.13 = 385.39 : x
  2. Step 2: Convert to fraction form
    505.07/696.13 = 385.39/x
  3. Step 3: Cross multiply
    505.07x = 696.13 × 385.39
  4. Step 4: Simplify right side
    505.07x = 268,281.00
  5. Step 5: Solve for x
    x = 268,281.00/505.07
  6. Step 6: Final answer
    x = 531.18

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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.