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Finding the Fourth Proportional to 390.14, 585 and 243.53

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Solution

The fourth proportional to 390.14, 585 and 243.53 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 585 = 243.53 : x
  2. Step 2: Convert to fraction form
    390.14/585 = 243.53/x
  3. Step 3: Cross multiply
    390.14x = 585 × 243.53
  4. Step 4: Simplify right side
    390.14x = 142,465.05
  5. Step 5: Solve for x
    x = 142,465.05/390.14
  6. Step 6: Final answer
    x = 365.16

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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.