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Finding the Fourth Proportional to 473.02, 704.25 and 466.19

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Solution

The fourth proportional to 473.02, 704.25 and 466.19 is: 694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 704.25 = 466.19 : x
  2. Step 2: Convert to fraction form
    473.02/704.25 = 466.19/x
  3. Step 3: Cross multiply
    473.02x = 704.25 × 466.19
  4. Step 4: Simplify right side
    473.02x = 328,313.43
  5. Step 5: Solve for x
    x = 328,313.43/473.02
  6. Step 6: Final answer
    x = 694.08

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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.