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Finding the Fourth Proportional to 460.02, 634.56 and 429.06

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Solution

The fourth proportional to 460.02, 634.56 and 429.06 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 634.56 = 429.06 : x
  2. Step 2: Convert to fraction form
    460.02/634.56 = 429.06/x
  3. Step 3: Cross multiply
    460.02x = 634.56 × 429.06
  4. Step 4: Simplify right side
    460.02x = 272,264.31
  5. Step 5: Solve for x
    x = 272,264.31/460.02
  6. Step 6: Final answer
    x = 591.85

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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.