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Finding the Fourth Proportional to 395.85, 592.04 and 352.83

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Solution

The fourth proportional to 395.85, 592.04 and 352.83 is: 527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.85 : 592.04 = 352.83 : x
  2. Step 2: Convert to fraction form
    395.85/592.04 = 352.83/x
  3. Step 3: Cross multiply
    395.85x = 592.04 × 352.83
  4. Step 4: Simplify right side
    395.85x = 208,887.71
  5. Step 5: Solve for x
    x = 208,887.71/395.85
  6. Step 6: Final answer
    x = 527.69

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