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Finding the Fourth Proportional to 477.63, 659.70 and 416.52

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Solution

The fourth proportional to 477.63, 659.70 and 416.52 is: 575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 659.70 = 416.52 : x
  2. Step 2: Convert to fraction form
    477.63/659.70 = 416.52/x
  3. Step 3: Cross multiply
    477.63x = 659.70 × 416.52
  4. Step 4: Simplify right side
    477.63x = 274,778.24
  5. Step 5: Solve for x
    x = 274,778.24/477.63
  6. Step 6: Final answer
    x = 575.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.