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Finding the Fourth Proportional to 693.30, 955.62 and 460.02

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Solution

The fourth proportional to 693.30, 955.62 and 460.02 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.30 : 955.62 = 460.02 : x
  2. Step 2: Convert to fraction form
    693.30/955.62 = 460.02/x
  3. Step 3: Cross multiply
    693.30x = 955.62 × 460.02
  4. Step 4: Simplify right side
    693.30x = 439,604.31
  5. Step 5: Solve for x
    x = 439,604.31/693.30
  6. Step 6: Final answer
    x = 634.08

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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.