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Finding the Fourth Proportional to 477.95, 712.90 and 405.35

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Solution

The fourth proportional to 477.95, 712.90 and 405.35 is: 604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 712.90 = 405.35 : x
  2. Step 2: Convert to fraction form
    477.95/712.90 = 405.35/x
  3. Step 3: Cross multiply
    477.95x = 712.90 × 405.35
  4. Step 4: Simplify right side
    477.95x = 288,977.64
  5. Step 5: Solve for x
    x = 288,977.64/477.95
  6. Step 6: Final answer
    x = 604.62

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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.