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Finding the Fourth Proportional to 460.08, 633.05 and 449.14

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Solution

The fourth proportional to 460.08, 633.05 and 449.14 is: 618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 633.05 = 449.14 : x
  2. Step 2: Convert to fraction form
    460.08/633.05 = 449.14/x
  3. Step 3: Cross multiply
    460.08x = 633.05 × 449.14
  4. Step 4: Simplify right side
    460.08x = 284,328.08
  5. Step 5: Solve for x
    x = 284,328.08/460.08
  6. Step 6: Final answer
    x = 618.00

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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.