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Finding the Fourth Proportional to 477.54, 712.42 and 464.32

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Solution

The fourth proportional to 477.54, 712.42 and 464.32 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 712.42 = 464.32 : x
  2. Step 2: Convert to fraction form
    477.54/712.42 = 464.32/x
  3. Step 3: Cross multiply
    477.54x = 712.42 × 464.32
  4. Step 4: Simplify right side
    477.54x = 330,790.85
  5. Step 5: Solve for x
    x = 330,790.85/477.54
  6. Step 6: Final answer
    x = 692.70

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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.