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Finding the Fourth Proportional to 473.10, 704.82 and 449.40

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Solution

The fourth proportional to 473.10, 704.82 and 449.40 is: 669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 704.82 = 449.40 : x
  2. Step 2: Convert to fraction form
    473.10/704.82 = 449.40/x
  3. Step 3: Cross multiply
    473.10x = 704.82 × 449.40
  4. Step 4: Simplify right side
    473.10x = 316,746.11
  5. Step 5: Solve for x
    x = 316,746.11/473.10
  6. Step 6: Final answer
    x = 669.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.