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Finding the Fourth Proportional to 491.15, 675.99 and 431

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Solution

The fourth proportional to 491.15, 675.99 and 431 is: 593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.15 : 675.99 = 431 : x
  2. Step 2: Convert to fraction form
    491.15/675.99 = 431/x
  3. Step 3: Cross multiply
    491.15x = 675.99 × 431
  4. Step 4: Simplify right side
    491.15x = 291,351.69
  5. Step 5: Solve for x
    x = 291,351.69/491.15
  6. Step 6: Final answer
    x = 593.20

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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.