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Finding the Fourth Proportional to 593.12, 817.76 and 372

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Solution

The fourth proportional to 593.12, 817.76 and 372 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 817.76 = 372 : x
  2. Step 2: Convert to fraction form
    593.12/817.76 = 372/x
  3. Step 3: Cross multiply
    593.12x = 817.76 × 372
  4. Step 4: Simplify right side
    593.12x = 304,206.72
  5. Step 5: Solve for x
    x = 304,206.72/593.12
  6. Step 6: Final answer
    x = 512.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.