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Finding the Fourth Proportional to 407.64, 562.53 and 232.98

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Solution

The fourth proportional to 407.64, 562.53 and 232.98 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 562.53 = 232.98 : x
  2. Step 2: Convert to fraction form
    407.64/562.53 = 232.98/x
  3. Step 3: Cross multiply
    407.64x = 562.53 × 232.98
  4. Step 4: Simplify right side
    407.64x = 131,058.24
  5. Step 5: Solve for x
    x = 131,058.24/407.64
  6. Step 6: Final answer
    x = 321.50

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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.