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Finding the Fourth Proportional to 476.30, 708.04 and 461.72

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Solution

The fourth proportional to 476.30, 708.04 and 461.72 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 708.04 = 461.72 : x
  2. Step 2: Convert to fraction form
    476.30/708.04 = 461.72/x
  3. Step 3: Cross multiply
    476.30x = 708.04 × 461.72
  4. Step 4: Simplify right side
    476.30x = 326,916.23
  5. Step 5: Solve for x
    x = 326,916.23/476.30
  6. Step 6: Final answer
    x = 686.37

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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.