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Finding the Fourth Proportional to 407.64, 562.64 and 342.03

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Solution

The fourth proportional to 407.64, 562.64 and 342.03 is: 472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 562.64 = 342.03 : x
  2. Step 2: Convert to fraction form
    407.64/562.64 = 342.03/x
  3. Step 3: Cross multiply
    407.64x = 562.64 × 342.03
  4. Step 4: Simplify right side
    407.64x = 192,438.05
  5. Step 5: Solve for x
    x = 192,438.05/407.64
  6. Step 6: Final answer
    x = 472.08

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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.