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Finding the Fourth Proportional to 464.26, 692.30 and 460.10

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Solution

The fourth proportional to 464.26, 692.30 and 460.10 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 692.30 = 460.10 : x
  2. Step 2: Convert to fraction form
    464.26/692.30 = 460.10/x
  3. Step 3: Cross multiply
    464.26x = 692.30 × 460.10
  4. Step 4: Simplify right side
    464.26x = 318,527.23
  5. Step 5: Solve for x
    x = 318,527.23/464.26
  6. Step 6: Final answer
    x = 686.10

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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.