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Finding the Fourth Proportional to 421.92, 583.02 and 407.34

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Solution

The fourth proportional to 421.92, 583.02 and 407.34 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 583.02 = 407.34 : x
  2. Step 2: Convert to fraction form
    421.92/583.02 = 407.34/x
  3. Step 3: Cross multiply
    421.92x = 583.02 × 407.34
  4. Step 4: Simplify right side
    421.92x = 237,487.37
  5. Step 5: Solve for x
    x = 237,487.37/421.92
  6. Step 6: Final answer
    x = 562.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.