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Finding the Fourth Proportional to 395, 592.52 and 265.84

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Solution

The fourth proportional to 395, 592.52 and 265.84 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395 : 592.52 = 265.84 : x
  2. Step 2: Convert to fraction form
    395/592.52 = 265.84/x
  3. Step 3: Cross multiply
    395x = 592.52 × 265.84
  4. Step 4: Simplify right side
    395x = 157,515.52
  5. Step 5: Solve for x
    x = 157,515.52/395
  6. Step 6: Final answer
    x = 398.77

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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.