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Finding the Fourth Proportional to 460.08, 634.64 and 429.03

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Solution

The fourth proportional to 460.08, 634.64 and 429.03 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 634.64 = 429.03 : x
  2. Step 2: Convert to fraction form
    460.08/634.64 = 429.03/x
  3. Step 3: Cross multiply
    460.08x = 634.64 × 429.03
  4. Step 4: Simplify right side
    460.08x = 272,277.45
  5. Step 5: Solve for x
    x = 272,277.45/460.08
  6. Step 6: Final answer
    x = 591.80

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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.