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Finding the Fourth Proportional to 470.48, 647.64 and 407.44

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Solution

The fourth proportional to 470.48, 647.64 and 407.44 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 647.64 = 407.44 : x
  2. Step 2: Convert to fraction form
    470.48/647.64 = 407.44/x
  3. Step 3: Cross multiply
    470.48x = 647.64 × 407.44
  4. Step 4: Simplify right side
    470.48x = 263,871.20
  5. Step 5: Solve for x
    x = 263,871.20/470.48
  6. Step 6: Final answer
    x = 560.86

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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.