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Finding the Fourth Proportional to 602.88, 832.08 and 406.40

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Solution

The fourth proportional to 602.88, 832.08 and 406.40 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 832.08 = 406.40 : x
  2. Step 2: Convert to fraction form
    602.88/832.08 = 406.40/x
  3. Step 3: Cross multiply
    602.88x = 832.08 × 406.40
  4. Step 4: Simplify right side
    602.88x = 338,157.31
  5. Step 5: Solve for x
    x = 338,157.31/602.88
  6. Step 6: Final answer
    x = 560.90

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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.