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Finding the Fourth Proportional to 632.72, 947.64 and 416

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Solution

The fourth proportional to 632.72, 947.64 and 416 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 947.64 = 416 : x
  2. Step 2: Convert to fraction form
    632.72/947.64 = 416/x
  3. Step 3: Cross multiply
    632.72x = 947.64 × 416
  4. Step 4: Simplify right side
    632.72x = 394,218.24
  5. Step 5: Solve for x
    x = 394,218.24/632.72
  6. Step 6: Final answer
    x = 623.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.