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Finding the Fourth Proportional to 690.65, 952.88 and 395.86

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Solution

The fourth proportional to 690.65, 952.88 and 395.86 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.65 : 952.88 = 395.86 : x
  2. Step 2: Convert to fraction form
    690.65/952.88 = 395.86/x
  3. Step 3: Cross multiply
    690.65x = 952.88 × 395.86
  4. Step 4: Simplify right side
    690.65x = 377,207.08
  5. Step 5: Solve for x
    x = 377,207.08/690.65
  6. Step 6: Final answer
    x = 546.16

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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.