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Finding the Fourth Proportional to 375.40, 562.70 and 253.40

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Solution

The fourth proportional to 375.40, 562.70 and 253.40 is: 379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.40 : 562.70 = 253.40 : x
  2. Step 2: Convert to fraction form
    375.40/562.70 = 253.40/x
  3. Step 3: Cross multiply
    375.40x = 562.70 × 253.40
  4. Step 4: Simplify right side
    375.40x = 142,588.18
  5. Step 5: Solve for x
    x = 142,588.18/375.40
  6. Step 6: Final answer
    x = 379.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.