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Finding the Fourth Proportional to 390.65, 538.86 and 233.18

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Solution

The fourth proportional to 390.65, 538.86 and 233.18 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.65 : 538.86 = 233.18 : x
  2. Step 2: Convert to fraction form
    390.65/538.86 = 233.18/x
  3. Step 3: Cross multiply
    390.65x = 538.86 × 233.18
  4. Step 4: Simplify right side
    390.65x = 125,647.51
  5. Step 5: Solve for x
    x = 125,647.51/390.65
  6. Step 6: Final answer
    x = 321.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.