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Finding the Fourth Proportional to 370.10, 510.47 and 245.70

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Solution

The fourth proportional to 370.10, 510.47 and 245.70 is: 338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 510.47 = 245.70 : x
  2. Step 2: Convert to fraction form
    370.10/510.47 = 245.70/x
  3. Step 3: Cross multiply
    370.10x = 510.47 × 245.70
  4. Step 4: Simplify right side
    370.10x = 125,423.09
  5. Step 5: Solve for x
    x = 125,423.09/370.10
  6. Step 6: Final answer
    x = 338.89

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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.