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Finding the Fourth Proportional to 390.76, 585.84 and 340

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Solution

The fourth proportional to 390.76, 585.84 and 340 is: 509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 585.84 = 340 : x
  2. Step 2: Convert to fraction form
    390.76/585.84 = 340/x
  3. Step 3: Cross multiply
    390.76x = 585.84 × 340
  4. Step 4: Simplify right side
    390.76x = 199,185.60
  5. Step 5: Solve for x
    x = 199,185.60/390.76
  6. Step 6: Final answer
    x = 509.74

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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.