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Finding the Fourth Proportional to 370.09, 510.42 and 265.15

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Solution

The fourth proportional to 370.09, 510.42 and 265.15 is: 365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.09 : 510.42 = 265.15 : x
  2. Step 2: Convert to fraction form
    370.09/510.42 = 265.15/x
  3. Step 3: Cross multiply
    370.09x = 510.42 × 265.15
  4. Step 4: Simplify right side
    370.09x = 135,337.86
  5. Step 5: Solve for x
    x = 135,337.86/370.09
  6. Step 6: Final answer
    x = 365.69

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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.