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Finding the Fourth Proportional to 370.21, 510.64 and 257.99

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Solution

The fourth proportional to 370.21, 510.64 and 257.99 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.21 : 510.64 = 257.99 : x
  2. Step 2: Convert to fraction form
    370.21/510.64 = 257.99/x
  3. Step 3: Cross multiply
    370.21x = 510.64 × 257.99
  4. Step 4: Simplify right side
    370.21x = 131,740.01
  5. Step 5: Solve for x
    x = 131,740.01/370.21
  6. Step 6: Final answer
    x = 355.85

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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.