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Finding the Fourth Proportional to 370.17, 510.87 and 258.15

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Solution

The fourth proportional to 370.17, 510.87 and 258.15 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.17 : 510.87 = 258.15 : x
  2. Step 2: Convert to fraction form
    370.17/510.87 = 258.15/x
  3. Step 3: Cross multiply
    370.17x = 510.87 × 258.15
  4. Step 4: Simplify right side
    370.17x = 131,881.09
  5. Step 5: Solve for x
    x = 131,881.09/370.17
  6. Step 6: Final answer
    x = 356.27

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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.