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Finding the Fourth Proportional to 395.60, 592.92 and 346.72

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Solution

The fourth proportional to 395.60, 592.92 and 346.72 is: 519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 592.92 = 346.72 : x
  2. Step 2: Convert to fraction form
    395.60/592.92 = 346.72/x
  3. Step 3: Cross multiply
    395.60x = 592.92 × 346.72
  4. Step 4: Simplify right side
    395.60x = 205,577.22
  5. Step 5: Solve for x
    x = 205,577.22/395.60
  6. Step 6: Final answer
    x = 519.66

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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.