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Finding the Fourth Proportional to 418.58, 577.53 and 314.01

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Solution

The fourth proportional to 418.58, 577.53 and 314.01 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.58 : 577.53 = 314.01 : x
  2. Step 2: Convert to fraction form
    418.58/577.53 = 314.01/x
  3. Step 3: Cross multiply
    418.58x = 577.53 × 314.01
  4. Step 4: Simplify right side
    418.58x = 181,350.20
  5. Step 5: Solve for x
    x = 181,350.20/418.58
  6. Step 6: Final answer
    x = 433.26

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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.