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Finding the Fourth Proportional to 602.90, 832.02 and 455.30

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Solution

The fourth proportional to 602.90, 832.02 and 455.30 is: 628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.90 : 832.02 = 455.30 : x
  2. Step 2: Convert to fraction form
    602.90/832.02 = 455.30/x
  3. Step 3: Cross multiply
    602.90x = 832.02 × 455.30
  4. Step 4: Simplify right side
    602.90x = 378,818.71
  5. Step 5: Solve for x
    x = 378,818.71/602.90
  6. Step 6: Final answer
    x = 628.33

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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.