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Finding the Fourth Proportional to 418.34, 577.47 and 263.06

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Solution

The fourth proportional to 418.34, 577.47 and 263.06 is: 363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.34 : 577.47 = 263.06 : x
  2. Step 2: Convert to fraction form
    418.34/577.47 = 263.06/x
  3. Step 3: Cross multiply
    418.34x = 577.47 × 263.06
  4. Step 4: Simplify right side
    418.34x = 151,909.26
  5. Step 5: Solve for x
    x = 151,909.26/418.34
  6. Step 6: Final answer
    x = 363.12

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