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Finding the Fourth Proportional to 594.88, 816.56 and 562.48

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Solution

The fourth proportional to 594.88, 816.56 and 562.48 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 816.56 = 562.48 : x
  2. Step 2: Convert to fraction form
    594.88/816.56 = 562.48/x
  3. Step 3: Cross multiply
    594.88x = 816.56 × 562.48
  4. Step 4: Simplify right side
    594.88x = 459,298.67
  5. Step 5: Solve for x
    x = 459,298.67/594.88
  6. Step 6: Final answer
    x = 772.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.