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Finding the Fourth Proportional to 372.64, 559 and 210.64

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Solution

The fourth proportional to 372.64, 559 and 210.64 is: 315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.64 : 559 = 210.64 : x
  2. Step 2: Convert to fraction form
    372.64/559 = 210.64/x
  3. Step 3: Cross multiply
    372.64x = 559 × 210.64
  4. Step 4: Simplify right side
    372.64x = 117,747.76
  5. Step 5: Solve for x
    x = 117,747.76/372.64
  6. Step 6: Final answer
    x = 315.98

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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.