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Finding the Fourth Proportional to 418.32, 577.02 and 263.16

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Solution

The fourth proportional to 418.32, 577.02 and 263.16 is: 363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 577.02 = 263.16 : x
  2. Step 2: Convert to fraction form
    418.32/577.02 = 263.16/x
  3. Step 3: Cross multiply
    418.32x = 577.02 × 263.16
  4. Step 4: Simplify right side
    418.32x = 151,848.58
  5. Step 5: Solve for x
    x = 151,848.58/418.32
  6. Step 6: Final answer
    x = 363.00

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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.