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Finding the Fourth Proportional to 632.47, 947.93 and 285.46

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Solution

The fourth proportional to 632.47, 947.93 and 285.46 is: 427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.47 : 947.93 = 285.46 : x
  2. Step 2: Convert to fraction form
    632.47/947.93 = 285.46/x
  3. Step 3: Cross multiply
    632.47x = 947.93 × 285.46
  4. Step 4: Simplify right side
    632.47x = 270,596.10
  5. Step 5: Solve for x
    x = 270,596.10/632.47
  6. Step 6: Final answer
    x = 427.84

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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.