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Finding the Fourth Proportional to 418.92, 577.98 and 314.16

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Solution

The fourth proportional to 418.92, 577.98 and 314.16 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 577.98 = 314.16 : x
  2. Step 2: Convert to fraction form
    418.92/577.98 = 314.16/x
  3. Step 3: Cross multiply
    418.92x = 577.98 × 314.16
  4. Step 4: Simplify right side
    418.92x = 181,578.20
  5. Step 5: Solve for x
    x = 181,578.20/418.92
  6. Step 6: Final answer
    x = 433.44

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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.