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Finding the Fourth Proportional to 390.04, 537.42 and 259

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Solution

The fourth proportional to 390.04, 537.42 and 259 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.04 : 537.42 = 259 : x
  2. Step 2: Convert to fraction form
    390.04/537.42 = 259/x
  3. Step 3: Cross multiply
    390.04x = 537.42 × 259
  4. Step 4: Simplify right side
    390.04x = 139,191.78
  5. Step 5: Solve for x
    x = 139,191.78/390.04
  6. Step 6: Final answer
    x = 356.87

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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.