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Finding the Fourth Proportional to 370.45, 511.47 and 258.65

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Solution

The fourth proportional to 370.45, 511.47 and 258.65 is: 357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.45 : 511.47 = 258.65 : x
  2. Step 2: Convert to fraction form
    370.45/511.47 = 258.65/x
  3. Step 3: Cross multiply
    370.45x = 511.47 × 258.65
  4. Step 4: Simplify right side
    370.45x = 132,289.16
  5. Step 5: Solve for x
    x = 132,289.16/370.45
  6. Step 6: Final answer
    x = 357.11

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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.