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Finding the Fourth Proportional to 464.94, 692.15 and 458.46

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Solution

The fourth proportional to 464.94, 692.15 and 458.46 is: 682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 692.15 = 458.46 : x
  2. Step 2: Convert to fraction form
    464.94/692.15 = 458.46/x
  3. Step 3: Cross multiply
    464.94x = 692.15 × 458.46
  4. Step 4: Simplify right side
    464.94x = 317,320.80
  5. Step 5: Solve for x
    x = 317,320.80/464.94
  6. Step 6: Final answer
    x = 682.50

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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.