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Finding the Fourth Proportional to 460.14, 634.16 and 407.04

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Solution

The fourth proportional to 460.14, 634.16 and 407.04 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 634.16 = 407.04 : x
  2. Step 2: Convert to fraction form
    460.14/634.16 = 407.04/x
  3. Step 3: Cross multiply
    460.14x = 634.16 × 407.04
  4. Step 4: Simplify right side
    460.14x = 258,128.49
  5. Step 5: Solve for x
    x = 258,128.49/460.14
  6. Step 6: Final answer
    x = 560.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.