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Finding the Fourth Proportional to 475.92, 712.80 and 283.14

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Solution

The fourth proportional to 475.92, 712.80 and 283.14 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 712.80 = 283.14 : x
  2. Step 2: Convert to fraction form
    475.92/712.80 = 283.14/x
  3. Step 3: Cross multiply
    475.92x = 712.80 × 283.14
  4. Step 4: Simplify right side
    475.92x = 201,822.19
  5. Step 5: Solve for x
    x = 201,822.19/475.92
  6. Step 6: Final answer
    x = 424.07

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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.