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Finding the Fourth Proportional to 593.12, 890.10 and 208.38

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Solution

The fourth proportional to 593.12, 890.10 and 208.38 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 890.10 = 208.38 : x
  2. Step 2: Convert to fraction form
    593.12/890.10 = 208.38/x
  3. Step 3: Cross multiply
    593.12x = 890.10 × 208.38
  4. Step 4: Simplify right side
    593.12x = 185,479.04
  5. Step 5: Solve for x
    x = 185,479.04/593.12
  6. Step 6: Final answer
    x = 312.72

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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.