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Finding the Fourth Proportional to 477.04, 712.25 and 460.24

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Solution

The fourth proportional to 477.04, 712.25 and 460.24 is: 687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 712.25 = 460.24 : x
  2. Step 2: Convert to fraction form
    477.04/712.25 = 460.24/x
  3. Step 3: Cross multiply
    477.04x = 712.25 × 460.24
  4. Step 4: Simplify right side
    477.04x = 327,805.94
  5. Step 5: Solve for x
    x = 327,805.94/477.04
  6. Step 6: Final answer
    x = 687.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.