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Finding the Fourth Proportional to 602.54, 829.95 and 562.22

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Solution

The fourth proportional to 602.54, 829.95 and 562.22 is: 774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.54 : 829.95 = 562.22 : x
  2. Step 2: Convert to fraction form
    602.54/829.95 = 562.22/x
  3. Step 3: Cross multiply
    602.54x = 829.95 × 562.22
  4. Step 4: Simplify right side
    602.54x = 466,614.49
  5. Step 5: Solve for x
    x = 466,614.49/602.54
  6. Step 6: Final answer
    x = 774.41

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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.