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Finding the Fourth Proportional to 632.16, 947.98 and 285.48

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Solution

The fourth proportional to 632.16, 947.98 and 285.48 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 947.98 = 285.48 : x
  2. Step 2: Convert to fraction form
    632.16/947.98 = 285.48/x
  3. Step 3: Cross multiply
    632.16x = 947.98 × 285.48
  4. Step 4: Simplify right side
    632.16x = 270,623.16
  5. Step 5: Solve for x
    x = 270,623.16/632.16
  6. Step 6: Final answer
    x = 428.10

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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.