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Finding the Fourth Proportional to 473.75, 706.10 and 464.63

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Solution

The fourth proportional to 473.75, 706.10 and 464.63 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 706.10 = 464.63 : x
  2. Step 2: Convert to fraction form
    473.75/706.10 = 464.63/x
  3. Step 3: Cross multiply
    473.75x = 706.10 × 464.63
  4. Step 4: Simplify right side
    473.75x = 328,078.17
  5. Step 5: Solve for x
    x = 328,078.17/473.75
  6. Step 6: Final answer
    x = 692.52

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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.