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Finding the Fourth Proportional to 615.65, 923.63 and 506.14

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Solution

The fourth proportional to 615.65, 923.63 and 506.14 is: 759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.65 : 923.63 = 506.14 : x
  2. Step 2: Convert to fraction form
    615.65/923.63 = 506.14/x
  3. Step 3: Cross multiply
    615.65x = 923.63 × 506.14
  4. Step 4: Simplify right side
    615.65x = 467,486.09
  5. Step 5: Solve for x
    x = 467,486.09/615.65
  6. Step 6: Final answer
    x = 759.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.