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Finding the Fourth Proportional to 615.40, 918.08 and 506.86

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Solution

The fourth proportional to 615.40, 918.08 and 506.86 is: 756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.40 : 918.08 = 506.86 : x
  2. Step 2: Convert to fraction form
    615.40/918.08 = 506.86/x
  3. Step 3: Cross multiply
    615.40x = 918.08 × 506.86
  4. Step 4: Simplify right side
    615.40x = 465,338.03
  5. Step 5: Solve for x
    x = 465,338.03/615.40
  6. Step 6: Final answer
    x = 756.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.