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Finding the Fourth Proportional to 602.22, 900.14 and 523.52

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Solution

The fourth proportional to 602.22, 900.14 and 523.52 is: 782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.22 : 900.14 = 523.52 : x
  2. Step 2: Convert to fraction form
    602.22/900.14 = 523.52/x
  3. Step 3: Cross multiply
    602.22x = 900.14 × 523.52
  4. Step 4: Simplify right side
    602.22x = 471,238.10
  5. Step 5: Solve for x
    x = 471,238.10/602.22
  6. Step 6: Final answer
    x = 782.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.