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Finding the Fourth Proportional to 390.34, 538.50 and 235

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Solution

The fourth proportional to 390.34, 538.50 and 235 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.34 : 538.50 = 235 : x
  2. Step 2: Convert to fraction form
    390.34/538.50 = 235/x
  3. Step 3: Cross multiply
    390.34x = 538.50 × 235
  4. Step 4: Simplify right side
    390.34x = 126,547.50
  5. Step 5: Solve for x
    x = 126,547.50/390.34
  6. Step 6: Final answer
    x = 324.20

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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.