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Finding the Fourth Proportional to 370.35, 510.18 and 259.65

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Solution

The fourth proportional to 370.35, 510.18 and 259.65 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.35 : 510.18 = 259.65 : x
  2. Step 2: Convert to fraction form
    370.35/510.18 = 259.65/x
  3. Step 3: Cross multiply
    370.35x = 510.18 × 259.65
  4. Step 4: Simplify right side
    370.35x = 132,468.24
  5. Step 5: Solve for x
    x = 132,468.24/370.35
  6. Step 6: Final answer
    x = 357.68

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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.