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Finding the Fourth Proportional to 470.24, 647.74 and 359.52

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Solution

The fourth proportional to 470.24, 647.74 and 359.52 is: 495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 647.74 = 359.52 : x
  2. Step 2: Convert to fraction form
    470.24/647.74 = 359.52/x
  3. Step 3: Cross multiply
    470.24x = 647.74 × 359.52
  4. Step 4: Simplify right side
    470.24x = 232,875.48
  5. Step 5: Solve for x
    x = 232,875.48/470.24
  6. Step 6: Final answer
    x = 495.23

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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.